Jack spends 1 4/5 as long on his homework as Jill. Last week Jill spent 9 3/4 hours doing homework. How long did Jack spend doing homework?

1 Answer
vanessa
May 11, 2018

About 17.6 hours.

Explanation:

If we let a = the number of hours Jack spent on his homework and b = the number of hours that Jill spent on her homework, we can set up an equation using the given information. Since Jack spent 1 4/5 times as long as Jill, this is the equation:

a = 1 4/5 * b

To make this a little easier on the eyes, you can convert the mixed number into a fraction.

a = 9/5 * b

Now, since we know that Jill spent 9 3/4 hours on her homework, simply plug that in as b.

a = 9/5 * 9 3/4

Now just simplify, to find that a = 17.55, or about 17.6 hours doing his homework.

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