Solve the puzzle: find the value of each symbol (heart, blue circle, clover) based on the balance scales.

Let's solve this puzzle step by step.

We are given two balance scales, each with symbols (hearts, blue circles, and clovers), and the total values on top of each scale:
- Left scale: 32
- Right scale: 42

We need to find the value of each symbol:
- Red heart (♥) = ?
- Blue circle (●) = ?
- Green clover (♣) = ?

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Step 1: Analyze the left scale (total = 32)

On the left:
- 4 blue circles (●)
- 1 red heart (♥)
- 1 green clover (♣)

So:
> 4● + ♥ + ♣ = 32 → Equation (1)

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Step 2: Analyze the right scale (total = 42)

On the right:
- 3 blue circles (●)
- 1 red heart (♥)
- 4 green clovers (♣)

So:
> 3● + ♥ + 4♣ = 42 → Equation (2)

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Now we have two equations:

1) 4● + ♥ + ♣ = 32
2) 3● + ♥ + 4♣ = 42

Let’s subtract Equation (1) from Equation (2) to eliminate ♥:

(3● + ♥ + 4♣) - (4● + ♥ + ♣) = 42 - 32
→ (3● - 4●) + (♥ - ♥) + (4♣ - ♣) = 10
→ -● + 3♣ = 10
→ 3♣ - ● = 10 → Equation (3)

Now solve for ● in terms of ♣:
→ ● = 3♣ - 10

Now substitute into Equation (1):

4● + ♥ + ♣ = 32
4(3♣ - 10) + ♥ + ♣ = 32
12♣ - 40 + ♥ + ♣ = 32
13♣ + ♥ = 72 → Equation (4)

Now let’s try small integer values for ♣ to see what works.

Try ♣ = 5:
→ 13×5 = 65 → ♥ = 72 - 65 = 7
Then ● = 3×5 - 10 = 15 - 10 = 5

Check if these values work in both equations.

Test in Equation (1):
4● + ♥ + ♣ = 4×5 + 7 + 5 = 20 + 7 + 5 = 32 ✔

Test in Equation (2):
3● + ♥ + 4♣ = 3×5 + 7 + 4×5 = 15 + 7 + 20 = 42 ✔

Perfect!

So:
- ♥ = 7
- ● = 5
- ♣ = 5

Wait — both ● and ♣ are 5? That’s possible.

But let’s double-check:
Clover (♣) = 5
Blue circle (●) = 5
Heart (♥) = 7

Left side: 4×5 + 7 + 5 = 20 + 7 + 5 = 32 ✔
Right side: 3×5 + 7 + 4×5 = 15 + 7 + 20 = 42 ✔

Yes! It works.

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Final Answer:

- ♥ = 7
- ● = 5
- ♣ = 5

✔ So the values are:
- Heart = 7
- Blue circle = 5
- Clover = 5

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Fill in the blanks:

> ♥ = 7
> ● = 5
> ♣ = 5

That's the solution!