Question

Veronica has $2.80, which consists of only quarters and nickels. If the number of quarters is half the number of nickels, how many coins does she have in total?

Answer 1

`x = 0.5y \\ 0.25x + 0.05y = 2.80`
Substitute x into

`0.25(0.5y) + 0.05y = 2.80 \\ 0.175y = 2.80 \\ y = 16`

`x = 0.5(16) \\ x = 8`
Total coins = 8 + 16 = 24

Hope this helps. - M