Money Saving Challenges (2 Templates) - Free Printable
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Step-by-step solution for: Money Saving Challenges (2 Templates)
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Show Answer Key & Explanations
Step-by-step solution for: Money Saving Challenges (2 Templates)
The image shows a "30-Day $1,000 Savings Challenge" grid with 30 hexagonal cells, each containing a dollar amount. The goal is to save the amount listed in each cell over 30 days, totaling $1,000.
---
Determine whether the total sum of all the amounts in the hexagons equals $1,000, and verify if this challenge is mathematically accurate.
---
Let’s go through each hexagon row by row:
#### Row 1:
- $10, $20, $25
#### Row 2:
- $5, $15, $25, $45
#### Row 3:
- $50, $30, $35, $40, $10
#### Row 4:
- $15, $55, $55, $5, $25
#### Row 5:
- $30, $20, $25, $50, $55
#### Row 6:
- $55, $35, $45, $35, $55
Wait — let's count how many cells there are.
Looking at the layout:
- It appears to be arranged in a honeycomb pattern.
- Let’s count the cells carefully.
Actually, visually it looks like there are 30 hexagons, but we need to confirm.
Let’s count them:
We can count row by row (top to bottom):
1. Top row: 3 cells → $10, $20, $25
2. Second row: 4 cells → $5, $15, $25, $45
3. Third row: 5 cells → $50, $30, $35, $40, $10
4. Fourth row: 5 cells → $15, $55, $55, $5, $25
5. Fifth row: 5 cells → $30, $20, $25, $50, $55
6. Sixth row: 5 cells → $55, $35, $45, $35, $55
7. Bottom row: 3 cells → $55, $55, $35
Wait — that's more than 30. Let's recount properly.
Actually, looking closely:
It's a hexagonal grid with 6 rows, but not all rows have the same number.
Let’s do a better count:
- Row 1: 3 cells
- Row 2: 4 cells
- Row 3: 5 cells
- Row 4: 5 cells
- Row 5: 5 cells
- Row 6: 5 cells
- Row 7: 3 cells
Total: 3 + 4 + 5 + 5 + 5 + 5 + 3 = 30 cells ✔
Now list all values:
Row 1: $10, $20, $25
Row 2: $5, $15, $25, $45
Row 3: $50, $30, $35, $40, $10
Row 4: $15, $55, $55, $5, $25
Row 5: $30, $20, $25, $50, $55
Row 6: $55, $35, $45, $35, $55
Row 7: $55, $55, $35
Now add them up.
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Let’s group them for easier calculation.
#### Group 1: $5
- $5 (row 2)
- $5 (row 4)
→ Total: $10
#### Group 2: $10
- $10 (row 1)
- $10 (row 3)
→ Total: $20
#### Group 3: $15
- $15 (row 2)
- $15 (row 4)
→ Total: $30
#### Group 4: $20
- $20 (row 1)
- $20 (row 5)
→ Total: $40
#### Group 5: $25
- $25 (row 1)
- $25 (row 2)
- $25 (row 4)
- $25 (row 5)
→ Total: $100
#### Group 6: $30
- $30 (row 3)
- $30 (row 5)
→ Total: $60
#### Group 7: $35
- $35 (row 3)
- $35 (row 6)
- $35 (row 6)
- $35 (row 7)
→ That’s four $35s? Wait:
Wait — let's list each one:
- Row 3: $35
- Row 6: $35, $35
- Row 7: $35
→ So: $35 × 4 = $140
#### Group 8: $40
- $40 (row 3)
- $40 (row 5)
→ Total: $80
#### Group 9: $45
- $45 (row 2)
- $45 (row 6)
→ Total: $90
#### Group 10: $50
- $50 (row 3)
- $50 (row 5)
→ Total: $100
#### Group 11: $55
- $55 (row 4) × 2 → $110
- $55 (row 5)
- $55 (row 6)
- $55 (row 6)
- $55 (row 7)
- $55 (row 7)
- $55 (row 7)
Wait — let's count $55s:
- Row 4: $55, $55 → 2
- Row 5: $55 → 1
- Row 6: $55, $55 → 2
- Row 7: $55, $55 → 2
So: 2 + 1 + 2 + 2 = 7 times $55
7 × $55 = $385
---
| Amount | Count | Total |
|--------|-------|-------|
| $5 | 2 | $10 |
| $10 | 2 | $20 |
| $15 | 2 | $30 |
| $20 | 2 | $40 |
| $25 | 4 | $100 |
| $30 | 2 | $60 |
| $35 | 4 | $140 |
| $40 | 2 | $80 |
| $45 | 2 | $90 |
| $50 | 2 | $100 |
| $55 | 7 | $385 |
Now add totals:
$10 + $20 = $30
+ $30 = $60
+ $40 = $100
+ $100 = $200
+ $60 = $260
+ $140 = $400
+ $80 = $480
+ $90 = $570
+ $100 = $670
+ $385 = $1,055
---
But the challenge claims it's a $1,000 savings challenge.
So the total exceeds $1,000 by $55.
---
- The sum of all daily savings amounts is $1,055, not $1,000.
- Therefore, the challenge does not add up to $1,000 as advertised.
- There might be a typo or error in the design.
---
To make it exactly $1,000, you could:
1. Reduce some values (e.g., change one $55 to $0, or reduce a few $55s).
2. Remove one $55 (but that would make it only 29 days).
3. Adjust the layout so that the total is correct.
Alternatively, maybe the challenge allows skipping some days or choosing which ones to follow.
But based on current data:
> 💡 The challenge is flawed — it totals $1,055, not $1,000.
---
✘ No, the 30-day savings challenge does not equal $1,000. It totals $1,055.
You would save $55 more than intended.
---
Let me know if you'd like a corrected version of the challenge!
---
🔍 Task:
Determine whether the total sum of all the amounts in the hexagons equals $1,000, and verify if this challenge is mathematically accurate.
---
✔ Step 1: List All Amounts
Let’s go through each hexagon row by row:
#### Row 1:
- $10, $20, $25
#### Row 2:
- $5, $15, $25, $45
#### Row 3:
- $50, $30, $35, $40, $10
#### Row 4:
- $15, $55, $55, $5, $25
#### Row 5:
- $30, $20, $25, $50, $55
#### Row 6:
- $55, $35, $45, $35, $55
Wait — let's count how many cells there are.
Looking at the layout:
- It appears to be arranged in a honeycomb pattern.
- Let’s count the cells carefully.
Actually, visually it looks like there are 30 hexagons, but we need to confirm.
Let’s count them:
We can count row by row (top to bottom):
1. Top row: 3 cells → $10, $20, $25
2. Second row: 4 cells → $5, $15, $25, $45
3. Third row: 5 cells → $50, $30, $35, $40, $10
4. Fourth row: 5 cells → $15, $55, $55, $5, $25
5. Fifth row: 5 cells → $30, $20, $25, $50, $55
6. Sixth row: 5 cells → $55, $35, $45, $35, $55
7. Bottom row: 3 cells → $55, $55, $35
Wait — that's more than 30. Let's recount properly.
Actually, looking closely:
It's a hexagonal grid with 6 rows, but not all rows have the same number.
Let’s do a better count:
- Row 1: 3 cells
- Row 2: 4 cells
- Row 3: 5 cells
- Row 4: 5 cells
- Row 5: 5 cells
- Row 6: 5 cells
- Row 7: 3 cells
Total: 3 + 4 + 5 + 5 + 5 + 5 + 3 = 30 cells ✔
Now list all values:
Row 1: $10, $20, $25
Row 2: $5, $15, $25, $45
Row 3: $50, $30, $35, $40, $10
Row 4: $15, $55, $55, $5, $25
Row 5: $30, $20, $25, $50, $55
Row 6: $55, $35, $45, $35, $55
Row 7: $55, $55, $35
Now add them up.
---
✔ Step 2: Add All Values
Let’s group them for easier calculation.
#### Group 1: $5
- $5 (row 2)
- $5 (row 4)
→ Total: $10
#### Group 2: $10
- $10 (row 1)
- $10 (row 3)
→ Total: $20
#### Group 3: $15
- $15 (row 2)
- $15 (row 4)
→ Total: $30
#### Group 4: $20
- $20 (row 1)
- $20 (row 5)
→ Total: $40
#### Group 5: $25
- $25 (row 1)
- $25 (row 2)
- $25 (row 4)
- $25 (row 5)
→ Total: $100
#### Group 6: $30
- $30 (row 3)
- $30 (row 5)
→ Total: $60
#### Group 7: $35
- $35 (row 3)
- $35 (row 6)
- $35 (row 6)
- $35 (row 7)
→ That’s four $35s? Wait:
Wait — let's list each one:
- Row 3: $35
- Row 6: $35, $35
- Row 7: $35
→ So: $35 × 4 = $140
#### Group 8: $40
- $40 (row 3)
- $40 (row 5)
→ Total: $80
#### Group 9: $45
- $45 (row 2)
- $45 (row 6)
→ Total: $90
#### Group 10: $50
- $50 (row 3)
- $50 (row 5)
→ Total: $100
#### Group 11: $55
- $55 (row 4) × 2 → $110
- $55 (row 5)
- $55 (row 6)
- $55 (row 6)
- $55 (row 7)
- $55 (row 7)
- $55 (row 7)
Wait — let's count $55s:
- Row 4: $55, $55 → 2
- Row 5: $55 → 1
- Row 6: $55, $55 → 2
- Row 7: $55, $55 → 2
So: 2 + 1 + 2 + 2 = 7 times $55
7 × $55 = $385
---
✔ Now Sum All Groups
| Amount | Count | Total |
|--------|-------|-------|
| $5 | 2 | $10 |
| $10 | 2 | $20 |
| $15 | 2 | $30 |
| $20 | 2 | $40 |
| $25 | 4 | $100 |
| $30 | 2 | $60 |
| $35 | 4 | $140 |
| $40 | 2 | $80 |
| $45 | 2 | $90 |
| $50 | 2 | $100 |
| $55 | 7 | $385 |
Now add totals:
$10 + $20 = $30
+ $30 = $60
+ $40 = $100
+ $100 = $200
+ $60 = $260
+ $140 = $400
+ $80 = $480
+ $90 = $570
+ $100 = $670
+ $385 = $1,055
---
✘ Result: Total = $1,055
But the challenge claims it's a $1,000 savings challenge.
So the total exceeds $1,000 by $55.
---
🚩 Conclusion:
- The sum of all daily savings amounts is $1,055, not $1,000.
- Therefore, the challenge does not add up to $1,000 as advertised.
- There might be a typo or error in the design.
---
✔ Possible Fixes:
To make it exactly $1,000, you could:
1. Reduce some values (e.g., change one $55 to $0, or reduce a few $55s).
2. Remove one $55 (but that would make it only 29 days).
3. Adjust the layout so that the total is correct.
Alternatively, maybe the challenge allows skipping some days or choosing which ones to follow.
But based on current data:
> 💡 The challenge is flawed — it totals $1,055, not $1,000.
---
✔ Final Answer:
✘ No, the 30-day savings challenge does not equal $1,000. It totals $1,055.
You would save $55 more than intended.
---
Let me know if you'd like a corrected version of the challenge!
Parent Tip: Review the logic above to help your child master the concept of printable money saver.