Let's solve
"The Penguin Puzzle" step by step.
We are given a series of equations involving:
- Minions holding balloons
- Penguins
- Blue bow ties
- Balloons
We need to assign numerical values to each symbol and then compute the final expression.
---
Step 1: Assign variables
Let’s define:
- Let
M = Minion with balloons (the yellow character holding 3 balloons)
- Let
P = Penguin (blue penguin with bow tie)
- Let
B = Bow tie (blue bow tie)
- Let
A = Balloons (just the bunch of 3 balloons, without the minion)
But wait — we see that in some cases, the balloon bunch is separate from the minion. So we should distinguish:
-
M = Minion + Balloons (whole unit)
-
A = Just the balloons (without minion)
-
P = Penguin (with bow tie)
-
B = Bow tie (separate)
Also, note: In equation 4, two
balloon bunches plus a penguin equals 9. So
A is the value of just the balloons.
Let’s go through each equation.
---
Equation 1:
```
M + M + M = 24
→ 3M = 24
→ M = 8
```
So,
Minion with balloons = 8
---
Equation 2:
```
P + M + P = 18
→ 2P + M = 18
→ 2P + 8 = 18
→ 2P = 10
→ P = 5
```
So,
Penguin = 5
---
Equation 3:
```
B + B + M = 16
→ 2B + M = 16
→ 2B + 8 = 16
→ 2B = 8
→ B = 4
```
So,
Bow tie = 4
---
Equation 4:
```
A + A + P = 9
→ 2A + P = 9
→ 2A + 5 = 9
→ 2A = 4
→ A = 2
```
So,
Balloons alone = 2
Wait! But earlier we had
M = 8, which is the
minion + balloons.
Now we know:
-
A = 2 → the balloons alone
- So, what is the
minion alone?
Let’s find it.
Since
M = Minion + Balloons = 8, and
Balloons = 2, then:
→
Minion (without balloons) = 8 - 2 = 6
But we don’t need that unless needed.
---
Now, Final Equation:
```
P + B × M = ?
```
Wait — let’s look carefully at the last line:
It shows:
- One
Penguin
- Plus a
Bow tie
- Times a
Minion with balloons
So:
P + B × M = ?
But remember order of operations:
multiplication before addition
So:
= P + (B × M)
= 5 + (4 × 8)
= 5 + 32
=
37
---
✔ Final Answer: 37
---
Summary of Values:
| Symbol | Value |
|--------|-------|
| Minion with balloons (M) | 8 |
| Penguin (P) | 5 |
| Bow tie (B) | 4 |
| Balloons alone (A) | 2 |
And:
- Minion alone = 6 (not needed here)
- Bow tie + balloons? Not used.
Final Expression:
> P + B × M = 5 + 4 × 8 = 5 + 32 =
37
---
🟩 Answer: 37 ✔
Parent Tip: Review the logic above to help your child master the concept of math worksheet test of genius.