The Best Free 5th Grade Math Resources: Complete List! — Mashup Math - Free Printable

Let's solve both fun math puzzles step by step. These are algebraic puzzles where each image represents a number, and we need to find the value of the unknowns.

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🔹 Puzzle 1: Fruits

We have:

1. 🍉 + 🍉 = 16
2. 🥭 + 🍉 = 18
3. 🥭 + 🍐 = 15
4. 🍉 + 🍐 = ?

Let’s assign variables:

- Let W = watermelon (each slice)
- Let C = coconut
- Let P = pear

From equation (1):
W + W = 16 → 2W = 16 → W = 8

So, one watermelon slice = 8

Now use equation (2):
C + W = 18 → C + 8 = 18 → C = 10

Now equation (3):
C + P = 15 → 10 + P = 15 → P = 5

Now find the answer to equation (4):
W + P = 8 + 5 = 13

✔ Answer for Puzzle 1: 13

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🔹 Puzzle 2: Ice Creams

We have:

1. 🍫 × 🍫 = 36
2. 🍦 + 🍫 = 36
3. 🍦 − 🍦 = 20
4. 🍦 + 🍫 = ?

Wait — let’s carefully identify the symbols:

Let’s define:

- Let B = chocolate bar (the sandwich ice cream)
- Let P = popsicle (two red sticks)
- Let I = ice cream cone (green scoop)

Now rewrite equations:

1. B × B = 36 → B² = 36 → B = 6 (since 6×6=36)

2. P + B = 36 → P + 6 = 36 → P = 30

3. P − I = 20 → 30 − I = 20 → I = 10

Now, the last question is:
I + B = ? → 10 + 6 = 16

✔ Answer for Puzzle 2: 16

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✔ Final Answers:

- Left puzzle (fruits): Watermelon + Pear = 13
- Right puzzle (ice creams): Ice cream cone + Chocolate bar = 16

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🎉 Summary:

These puzzles teach algebraic thinking using visual symbols — assigning variables, solving equations step-by-step, and substituting values. Great practice for 5th graders!