Question

Marta and Guadalupe are saving for a car. Marta has $500 in her bank account when Guadalupe opens a bank account with zero dollars. Marta deposits $75 into her account each week for x weeks. Guadalupe deposits $95 into her account each week for x weeks. These accounts do not earn interest. Which inequality represents this situation when the amount of money in Guadalupe's account is greater than the amount of money in Marta's account?

Answer 1

x>20

Explanation:

given that

Marta has $500 in her bank account

Marta deposits $75

the total amount in the account after x weeks is

y=500+75x----------1

Guadalupe deposits $95 into her account each week for x weeks.

the total amount in the account after x weeks is

y=95x-----------2

equating 1 and 2 we have

500+75x=95x

solving for x we have

500=95x-75x

500=25x

x=500/25

x=20

the inequality is

x>20