Question

Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours did they each work? (round answers to 1 decimal place) Amy worked hours Brayden worked hours

Answer 1

Amy worked for 128 hours while Brayden worked for 112 hours

Explanation:

Given

Let A represents Amy and B represents Brayden

A = 16 + B ------(1)

A:B = 8:7------- (2)

Required

Find A and B;

Convert (2) to fractions

`(A)/(B) = (8)/(7)`

Cross Multiply

`7 * A = 8 * B`

`7A = 8B`

Substitute A = 16 + B in the above expression

`7(16 + B) = 8B`

Open Bracket

`7 * 16 + 7 * B = 8B`

`112 + 7B = 8B`

Subtract 7B from both sides

`112 + 7B - 7B = 8B - 7B`

`112 = B`

`B = 112`

Recall that A = 16 + B

Hence,
`A = 16 + 112`

`A = 128`

This implies that Amy worked for 128 hours while Brayden worked for 112 hours