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

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.