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.