Solve the riddle by evaluating math expressions on this SplashLearn worksheet.
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Step-by-step solution for:
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Show Answer Key & Explanations
Step-by-step solution for:
Let's solve the riddle step by step.
We are given six mathematical expressions, each associated with a letter. We need to evaluate each expression, match the result to the corresponding number in the table below, and then use the letters to answer the riddle:
> "If I have it, I don't share it. If I share it, I don't have it. What is it?"
---
#### 1. 168 – 79 + 10 → Letter: R
- 168 – 79 = 89
- 89 + 10 = 99
- So, R → 99
#### 2. 6 × (51 + 47) → Letter: S
- 51 + 47 = 98
- 6 × 98 = 588
- So, S → 588
#### 3. 200 + 20 ÷ 2 → Letter: T
- Division first: 20 ÷ 2 = 10
- Then: 200 + 10 = 210
- So, T → 210
#### 4. 8 × 25 ÷ 5 → Letter: E
- Multiplication and division from left to right:
- 8 × 25 = 200
- 200 ÷ 5 = 40
- So, E → 40
#### 5. 16 + 37(12 + 44) → Letter: E
- First: 12 + 44 = 56
- Then: 37 × 56 = ?
- 37 × 56 = (30 × 56) + (7 × 56) = 1680 + 392 = 2072
- Then: 16 + 2072 = 2088
- So, E → 2088
Wait! Two expressions have the letter E, but different values? Let's check.
Wait — this might be a typo or confusion. But looking at the image:
- One expression has E (top-right: 8×25÷5 → 40)
- Another has E (bottom-left: 16 + 37(12+44) → 2088)
So both are labeled E? That can’t be unless they’re the same value. But clearly they aren’t.
But let’s double-check if we misread.
Looking again:
- Top-right: 8 × 25 ÷ 5 → E
- Bottom-left: 16 + 37(12 + 44) → E
So two different expressions both labeled E? That would mean they must evaluate to the same number, but they don’t.
Wait — perhaps it's a mistake in labeling?
Wait, no — maybe the E is only on one. Let's recheck the image description.
From your description:
- Bottom-left: 16 + 37(12 + 44) → E
- Bottom-right: 532 - 1/4 × (77 + 23) → C
Ah! Wait — there are two Es? That seems odd.
But let’s proceed carefully.
Actually, let’s list all:
| Expression | Letter |
|----------|--------|
| 168 – 79 + 10 | R |
| 6 × (51 + 47) | S |
| 200 + 20 ÷ 2 | T |
| 8 × 25 ÷ 5 | E |
| 16 + 37(12 + 44) | E |
| 532 – ¼ × (77 + 23) | C |
Wait — two Es? That can't be. Unless it's a typo.
But perhaps the second one is not E? Let's look back.
You said:
> "16 + 37(12 + 44)" → E
> "532 - 1/4 × (77 + 23)" → C
Yes, so two expressions labeled E? That doesn't make sense unless both evaluate to the same number.
But we already saw:
- 8 × 25 ÷ 5 = 40
- 16 + 37(12 + 44) = 16 + 37×56 = 16 + 2072 = 2088
So different values. So likely, one of them is mislabeled.
But wait — perhaps the E is only on one, and the other is something else?
Looking at your original image description:
> "16 + 37(12 + 44)" → E
> "532 - 1/4 × (77 + 23)" → C
And earlier:
> "8 × 25 ÷ 5" → E
So yes, two Es.
But that can't be — unless it's a mistake.
Wait — perhaps the E is actually L or another letter?
Alternatively, maybe the problem intends for us to assign each expression to a number, and then map the letters to the numbers in the table.
Let’s just compute all six expressions and see which answers match the numbers in the table.
The table gives:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
So possible answers: 588, 2088, 507, 99, 40, 210
Now let's compute each expression carefully.
---
- 168 – 79 = 89
- 89 + 10 = 99
✔ R → 99
---
- 51 + 47 = 98
- 6 × 98 = 588
✔ S → 588
---
- 20 ÷ 2 = 10
- 200 + 10 = 210
✔ T → 210
---
- 8 × 25 = 200
- 200 ÷ 5 = 40
✔ E → 40
---
- 12 + 44 = 56
- 37 × 56 = ?
Calculate:
- 37 × 56
- = 37 × (50 + 6) = 37×50 + 37×6 = 1850 + 222 = 2072
- Then 16 + 2072 = 2088
✔ So this evaluates to 2088
So this E → 2088
But we already have E → 40 from earlier.
Conflict!
Wait — unless the E is only for one of them.
But the problem says:
> Write the associated letter over the answer given in the table below.
So probably, the letters are assigned to each expression, and we match the result to the number in the table, and place the letter above it.
So even if two expressions have the same letter, it might be a typo.
But here, two expressions have E, but give 40 and 2088.
But 40 and 2088 are both in the table.
So perhaps both are valid, and both are labeled E? That would mean two Es in the final word.
But that’s unusual.
Wait — let’s look at the sixth expression.
---
- First: 77 + 23 = 100
- (1/4) × 100 = 25
- 532 – 25 = 507
✔ C → 507
---
Now, summarize:
| Expression | Result | Letter |
|-----------|--------|--------|
| 168 – 79 + 10 | 99 | R |
| 6 × (51 + 47) | 588 | S |
| 200 + 20 ÷ 2 | 210 | T |
| 8 × 25 ÷ 5 | 40 | E |
| 16 + 37(12 + 44) | 2088 | E |
| 532 – ¼ × (77 + 23) | 507 | C |
Now, the numbers in the table are:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
So we have:
- 588 → S
- 2088 → E
- 507 → C
- 99 → R
- 40 → E
- 210 → T
Now, we need to write the letter above each number in the table.
So the table is:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| | | | | | |
Now assign the letters:
- 588 → S
- 2088 → E
- 507 → C
- 99 → R
- 40 → E
- 210 → T
So fill in:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| S | E | C | R | E | T |
Now read the letters in order: S, E, C, R, E, T
That spells: SECRET
---
Now, the riddle:
> "If I have it, I don't share it. If I share it, I don't have it. What is it?"
Answer: A secret
Because:
- If you have a secret, you don’t share it.
- If you share it, it’s no longer a secret — you don’t have it anymore.
Perfect!
---
The solution to the riddle is SECRET.
The completed table looks like:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| S | E | C | R | E | T |
And the answer to the riddle is: a secret.
We are given six mathematical expressions, each associated with a letter. We need to evaluate each expression, match the result to the corresponding number in the table below, and then use the letters to answer the riddle:
> "If I have it, I don't share it. If I share it, I don't have it. What is it?"
---
Step 1: Evaluate Each Expression
#### 1. 168 – 79 + 10 → Letter: R
- 168 – 79 = 89
- 89 + 10 = 99
- So, R → 99
#### 2. 6 × (51 + 47) → Letter: S
- 51 + 47 = 98
- 6 × 98 = 588
- So, S → 588
#### 3. 200 + 20 ÷ 2 → Letter: T
- Division first: 20 ÷ 2 = 10
- Then: 200 + 10 = 210
- So, T → 210
#### 4. 8 × 25 ÷ 5 → Letter: E
- Multiplication and division from left to right:
- 8 × 25 = 200
- 200 ÷ 5 = 40
- So, E → 40
#### 5. 16 + 37(12 + 44) → Letter: E
- First: 12 + 44 = 56
- Then: 37 × 56 = ?
- 37 × 56 = (30 × 56) + (7 × 56) = 1680 + 392 = 2072
- Then: 16 + 2072 = 2088
- So, E → 2088
Wait! Two expressions have the letter E, but different values? Let's check.
Wait — this might be a typo or confusion. But looking at the image:
- One expression has E (top-right: 8×25÷5 → 40)
- Another has E (bottom-left: 16 + 37(12+44) → 2088)
So both are labeled E? That can’t be unless they’re the same value. But clearly they aren’t.
But let’s double-check if we misread.
Looking again:
- Top-right: 8 × 25 ÷ 5 → E
- Bottom-left: 16 + 37(12 + 44) → E
So two different expressions both labeled E? That would mean they must evaluate to the same number, but they don’t.
Wait — perhaps it's a mistake in labeling?
Wait, no — maybe the E is only on one. Let's recheck the image description.
From your description:
- Bottom-left: 16 + 37(12 + 44) → E
- Bottom-right: 532 - 1/4 × (77 + 23) → C
Ah! Wait — there are two Es? That seems odd.
But let’s proceed carefully.
Actually, let’s list all:
| Expression | Letter |
|----------|--------|
| 168 – 79 + 10 | R |
| 6 × (51 + 47) | S |
| 200 + 20 ÷ 2 | T |
| 8 × 25 ÷ 5 | E |
| 16 + 37(12 + 44) | E |
| 532 – ¼ × (77 + 23) | C |
Wait — two Es? That can't be. Unless it's a typo.
But perhaps the second one is not E? Let's look back.
You said:
> "16 + 37(12 + 44)" → E
> "532 - 1/4 × (77 + 23)" → C
Yes, so two expressions labeled E? That doesn't make sense unless both evaluate to the same number.
But we already saw:
- 8 × 25 ÷ 5 = 40
- 16 + 37(12 + 44) = 16 + 37×56 = 16 + 2072 = 2088
So different values. So likely, one of them is mislabeled.
But wait — perhaps the E is only on one, and the other is something else?
Looking at your original image description:
> "16 + 37(12 + 44)" → E
> "532 - 1/4 × (77 + 23)" → C
And earlier:
> "8 × 25 ÷ 5" → E
So yes, two Es.
But that can't be — unless it's a mistake.
Wait — perhaps the E is actually L or another letter?
Alternatively, maybe the problem intends for us to assign each expression to a number, and then map the letters to the numbers in the table.
Let’s just compute all six expressions and see which answers match the numbers in the table.
The table gives:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
So possible answers: 588, 2088, 507, 99, 40, 210
Now let's compute each expression carefully.
---
1. 168 – 79 + 10 → R
- 168 – 79 = 89
- 89 + 10 = 99
✔ R → 99
---
2. 6 × (51 + 47) → S
- 51 + 47 = 98
- 6 × 98 = 588
✔ S → 588
---
3. 200 + 20 ÷ 2 → T
- 20 ÷ 2 = 10
- 200 + 10 = 210
✔ T → 210
---
4. 8 × 25 ÷ 5 → E
- 8 × 25 = 200
- 200 ÷ 5 = 40
✔ E → 40
---
5. 16 + 37(12 + 44) → E
- 12 + 44 = 56
- 37 × 56 = ?
Calculate:
- 37 × 56
- = 37 × (50 + 6) = 37×50 + 37×6 = 1850 + 222 = 2072
- Then 16 + 2072 = 2088
✔ So this evaluates to 2088
So this E → 2088
But we already have E → 40 from earlier.
Conflict!
Wait — unless the E is only for one of them.
But the problem says:
> Write the associated letter over the answer given in the table below.
So probably, the letters are assigned to each expression, and we match the result to the number in the table, and place the letter above it.
So even if two expressions have the same letter, it might be a typo.
But here, two expressions have E, but give 40 and 2088.
But 40 and 2088 are both in the table.
So perhaps both are valid, and both are labeled E? That would mean two Es in the final word.
But that’s unusual.
Wait — let’s look at the sixth expression.
---
6. 532 – (1/4) × (77 + 23) → C
- First: 77 + 23 = 100
- (1/4) × 100 = 25
- 532 – 25 = 507
✔ C → 507
---
Now, summarize:
| Expression | Result | Letter |
|-----------|--------|--------|
| 168 – 79 + 10 | 99 | R |
| 6 × (51 + 47) | 588 | S |
| 200 + 20 ÷ 2 | 210 | T |
| 8 × 25 ÷ 5 | 40 | E |
| 16 + 37(12 + 44) | 2088 | E |
| 532 – ¼ × (77 + 23) | 507 | C |
Now, the numbers in the table are:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
So we have:
- 588 → S
- 2088 → E
- 507 → C
- 99 → R
- 40 → E
- 210 → T
Now, we need to write the letter above each number in the table.
So the table is:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| | | | | | |
Now assign the letters:
- 588 → S
- 2088 → E
- 507 → C
- 99 → R
- 40 → E
- 210 → T
So fill in:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| S | E | C | R | E | T |
Now read the letters in order: S, E, C, R, E, T
That spells: SECRET
---
Now, the riddle:
> "If I have it, I don't share it. If I share it, I don't have it. What is it?"
Answer: A secret
Because:
- If you have a secret, you don’t share it.
- If you share it, it’s no longer a secret — you don’t have it anymore.
Perfect!
---
✔ Final Answer:
The solution to the riddle is SECRET.
The completed table looks like:
| 588 | 2,088 | 507 | 99 | 40 | 210 |
|-----|-------|-----|----|----|-----|
| S | E | C | R | E | T |
And the answer to the riddle is: a secret.
Parent Tip: Review the logic above to help your child master the concept of solving for x worksheets.