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Question P4–P5–P6 Suppose and swap

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Baskets of fruit — adult and baby monkeys

A zookeeper has 44 baskets of fruit for a troop of 58 monkeys, made up of adult monkeys and baby monkeys. Each adult monkey eats 2 baskets of fruit, and every 5 baby monkeys share 1 basket. How many adult monkeys and how many baby monkeys are there?

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About this method

Suppose and swap

Suppose everything is one kind, then swap one at a time until the total is right.

In this one. Count in fifths of a basket so nothing is a fraction, then guess "all babies" and swap babies for adults — each swap adds the same 9 fifths, so one division finds how many swaps were needed.

All 30 chickens60 legs, 36 short of 96legseach box is 12 legsEach swapa chicken out, a cow inadds2 legs — 36 ÷ 2 = 18 cows

How to spot it

Two kinds of thing are mixed together with a known total count and a known total of something else, such as legs or sweets, and neither kind's count is given on its own.

Common mistake

Children lose track of whether a swap adds to the total or takes away from it. Compare the starting total with the target first, then swap in the direction that closes the gap.

Practise a similar question

Standard A cycling club has 25 vehicles parked outside, a mix of bicycles and tricycles. Bicycles have 2 wheels and tricycles have 3 wheels. Altogether there are 58 wheels. How many tricycles are there?
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