Question

Josie and Allanah are each saving money. Josie starts with 100$ per week in her savings account and adds 5$ per week. Allanah starts with 10$ in her savings account and adds 20$ each week. 1) Write equations to represent josie's savings and alana's saving.(you should have 2 different equations) After 4 weeks who has more money in their savings account? And after how many weeks will Josie and Allanah have the same amount of money in their savings account?

8

Answer 1

Josie: 100 + 5x

Allanah: 10 + 20x

As stated in my last response, x means the unknown variable of the amount of times they will repeat the process. Now, given that the unknown variable is 4, just plug it into the equation.

Josie: 100 + 5(4)

Allanah: 10 + 20(4)

Josie: $120

Allanah: $90

Josie clearly has more money (by then the end of 4 weeks)

Now, for the last question,

Josie: 100 + 5x

Allanah: 10 + 20x

If we set these equations equal to each other, x will equal 6

100 + 5x = 10 + 20x

This means after 6 weeks they will have the same amount of money.