Limes

Algebra Level 1

There are 13 limes on a lime tree, and a group of adults and children are looking to divide the limes equally. There are 20 adults. There are 12 children. Note: The 12 children will be given 1/2 as much as the adults. How many limes would 5 children be given in all?


The answer is 1.25.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Let each child get x x part of a lime, then we have:

20 ( 2 x ) + 12 x = 13 ⇒ 52 x = 13 ⇒ x = 1 4 \quad 20(2x) + 12x = 13\quad \Rightarrow 52x = 13\quad \Rightarrow x = \frac {1}{4}

Therefore, 5 5 children get 5 x = 5 × 1 4 = 1.25 5x = 5\times \frac {1}{4} = \boxed{1.25}

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