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

Answer:

Amy worked for 128 hours while Brayden worked for 112 hours

Step-by-step 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

$\frac{A}{B} = \frac{8}{7}$

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