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Liz and Jack are collecting clothes for a clothing drive. Jack collected 1/6 as many clothes as Liz did. If Liz collected 5/8 of a bag of clothes, How many bags of clothes did Jack collect?

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Final answer:

To find out how many bags of clothes Jack collected, multiply the amount Liz collected, 5/8, by 1/6. Jack collected 5/48 of a bag of clothes.

Step-by-step explanation:

The student's question involves solving a proportion to find out how many bags of clothes Jack collected in comparison to Liz. Since Liz collected 5/8 of a bag of clothes and Jack collected 1/6 as many clothes as Liz did, we can set up a proportion to find Jack's share.

Let's let x represent the number of bags Jack collected. Since he collected 1/6 of what Liz did, we have:

Jack's clothes = (1/6) * Liz's clothes

x = (1/6) * 5/8

To find x, we multiply:

x = (1/6) * (5/8) = 5/48

So, Jack collected 5/48 of a bag of clothes.

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