Veronica has $2.80, which consists of only quarters and nickels. If the number of quarters is half the number of nickels, how ma

Question

Alex Ar [27]

4 years ago

5

Veronica has $2.80, which consists of only quarters and nickels. If the number of quarters is half the number of nickels, how ma

ny coins does she have in total?

Mathematics

1 answer:

Natasha_Volkova [10] · Answer 1 · 2022-01-14T15:31:34+03:00

Natasha_Volkova [10]4 years ago

7 0

$x = 0.5y \\ 0.25x + 0.05y = 2.80$
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