Question

3. At the start of summer, Ben has $250 . He takes a summer

job and saves $ 150 per week. Tim has $ 1,650 at the start of
summer , he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?

Answer 1

Week 4

Explanation:

Ben has $250 in the beginning. He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning. He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.