Let's practise

Small cartons of juices are sold in packs of five cartons.

A school buys eight packs for a trip.
How many cartons of each juice will there be?
orange juice
apple juice

  • Read the question and then read it again. What is it asking you to do?
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It is asking you to find out how many cartons of orange juice and how many cartons of apple juice there will be in eight packs.

  • Identify the ratio of part to part.
    The language ‘for every’ will help you here.
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The ratio is three cartons of orange juice for every two cartons of apple juice.

  • How many packs of juices did the school buy for the trip?
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Eight packs

  • So, you must now multiply each of the parts by eight so the juices stay in the same ratio.
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3 × 8 = 24 cartons of orange juice
2 × 8 = 16 cartons of apple juice

  • What is your answer?
    Check your working.
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There are 24 cartons of orange juice and 16 cartons of apple juice.
You can use the total number of cartons to check the answer.
24 + 16 = 40 cartons in total
40 ÷ 8 = 5, which is the number of cartons in a pack.