Laura has $720 and saves $30 a week. Taylor has $1200 and spends $30 a week. in how many weeks will Taylor and Laura have the sa

Question

atroni [7]

3 years ago

7

Laura has $720 and saves $30 a week. Taylor has $1200 and spends $30 a week. in how many weeks will Taylor and Laura have the sa

me amount of money? how much money will that be?

Mathematics

1 answer:

Setler79 [48] · Answer 1 · 2021-12-28T15:12:00+03:00

Let w = number of weeks.

In week w,
Laura has: 720 + 30w
Taylor has: 1200 - 30w

Set the two amounts equal and solve for w, the number of weeks.

720 + 30w = 1200 - 30w

60w = 480

w = 8

They will have the same amount of money in 8 weeks.

Laura will have in 8 weeks:
720 + 30w = 720 + 30 * 8 = 720 + 240 = 960

Taylor will have in 8 weeks:
1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960

They will both have $960 in 8 weeks.