Kevin opened a bank account and plans to deposit $200 each month. Each time he makes a deposit, his parents have agreed to add 50% of the amount the family collects for returning cans and bottles.

Question

a) Write an equation that will show his monthly amount when the family collects x dollars of bottle returns.

b) What is the amount when the family collects $27 in bottle returns?

c) If the amount is $223, how much did they collect in bottle returns?

Answer 1

deposit = 200 + .5 x

deposit = 200 + .5(27) = 213.50

223 = 200 + .5 x
.5 x = 23
x = 11.50

Answer 2

I got the same except for the last one.

.5x=23
x=46