Question

A collection of coins consists of nickels, dimes, and quarters. there are three fewer quarters that nickels and six more dimes that quarters. how many of each kind of coin are in the collection if the total value of the collection is $4.35?

Answer 1

q = n - 3

d = q + 6

.05n + .10d + .25q = 4.35

.05(q + 3) + .10(q + 6) + .25q = 4.35

.05q + .15 + .10q + .60 + .25q = 4.35

.40q + .75 = 4.35

.40q = 3.60

q = 9, n = 12, d = 15

There are 12 nickels, 15 dimes, and 9 quarters in this collection.