A collection of quarters and nickels is worth 13.50. there are 78 coins in all. find the number of each coin

Question

Mathematics

Randy Adkins

14 February, 13:55

A collection of quarters and nickels is worth 13.50. there are 78 coins in all. find the number of each coin

+5

Answers (1)

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Alessandra Gates · Answer 1

Q+n=78

25q+5n=1350

divide 2nd equation by 5

5q+n=270

q+n=78

5q+n=270

mulitply first equaton by - 1 and add to 2nd

-q-n=-78

5q+n=270 +

4q+0n=192

4q=192

divide both sides by 4

q=48

sub back

q+n=78

48+n=78

minus 48 both sides

n=30

30 nickles

48 quarters