Let's solve this step by step.
We are given 5 equations with symbols. Let’s assign variables to each symbol to make it easier:
- Let
C = Coin (the circular symbol with a diamond in the center)
- Let
S = Sunglasses (the mustache + glasses symbol)
- Let
L = Lemon slice
- Let
D = Diamond
---
Step 1: Use the third equation
>
D = L
So, the diamond and lemon slice have the same value. We’ll use this substitution.
---
Step 2: Use the fourth equation
>
D - 50 = S
Substitute D for L (from Step 1), so:
>
S = D - 50
---
Step 3: Use the second equation
>
270 = L + L + D
But since
L = D, substitute:
> 270 = D + D + D
> 270 = 3D
>
D = 90
Now we can find L and S:
-
L = D = 90
-
S = D - 50 = 90 - 50 = 40
---
Step 4: Use the first equation
>
C + S + C = 240
That is:
2C + S = 240
We know S = 40, so:
> 2C + 40 = 240
> 2C = 200
>
C = 100
---
Step 5: Solve the final expression
>
C + S × L + D = ?
Remember
order of operations: multiplication before addition.
So:
> C + (S × L) + D
> = 100 + (40 × 90) + 90
> = 100 + 3600 + 90
> =
3790
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✔ Final Answer: 3790
---
Summary of symbol values:
- Coin (C) =
100
- Sunglasses (S) =
40
- Lemon (L) =
90
- Diamond (D) =
90
And the final expression evaluates to
3790.
Parent Tip: Review the logic above to help your child master the concept of free printable algebra puzzles.