# The bat and ball: visual puzzle and solution | SwaVid

A bat and ball cost ₹110. The bat costs ₹100 more than the ball. What does the ball cost? See the complete step-by-step solution.

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# The bat and ball

## The ball costs ₹5 and the bat costs ₹105.

### Write the two facts

### Solve for the ball

### Check

SwaVid visual puzzle

A bat and ball cost ₹110. The bat costs ₹100 more than the ball. What does the ball cost?

Detailed solution

If the ball were ₹10, the bat would be ₹110 and the pair would cost ₹120, not ₹110.

Let the ball be b. The bat is b + 100, and together they make 110.

Combine the b terms and subtract 100.

The bat is 105, which is exactly 100 more than 5, and 105 + 5 = 110.

₹10 feels right because 110 − 100 = 10, but that makes the bat only ₹90 more than the ball.

- 1 Write the two facts Let the ball be b. The bat is b + 100, and together they make 110. b + (b + 100) = 110
- 2 Solve for the ball Combine the b terms and subtract 100. 2b + 100 = 110 → 2b = 10 → b = 5
- 3 Check The bat is 105, which is exactly 100 more than 5, and 105 + 5 = 110. 105 + 5 = 110 ✓

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