Let me solve this step by step.
First, I need to figure out what each shape is worth. There are three shapes:
- Green square with two black rectangles (let's call it
G)
- Yellow hexagon with two black circles (call it
H)
- Pink circle with two black circles (call it
P)
We have 4 rows of equations:
1. H + H + P = 35
2. G + G + G = 60
3. G + P + H = 40
4. G + G + P = 45
Also, the bottom row gives column sums:
- Column 1: H + G + G + G = 75
- Column 2: H + G + P + G = 60
- Column 3: P + G + H + P = 45
But we can start with the simplest equation: Row 2:
G + G + G = 60 → 3G = 60 → G = 20
Now plug G = 20 into other equations.
Row 4: G + G + P = 45 → 20 + 20 + P = 45 → 40 + P = 45 → P = 5
Now use Row 1: H + H + P = 35 → 2H + 5 = 35 → 2H = 30 → H = 15
Let’s verify with Row 3: G + P + H = 20 + 5 + 15 = 40
✔
Column 1: H + G + G + G = 15 + 20 + 20 + 20 = 75
✔
Column 2: H + G + P + G = 15 + 20 + 5 + 20 = 60
✔
Column 3: P + G + H + P = 5 + 20 + 15 + 5 = 45
✔
All check out.
So:
- Green square = 20
- Yellow hexagon = 15
- Pink circle = 5
Final Answer:
20, 15, 5
Parent Tip: Review the logic above to help your child master the concept of 2 grade puzzles.