A collection of nickels and quarters is worth $4.65 there are three more nickels than quarters use a system of equations to determine how many coins are in the collection

Nickels = n

quarters = q

nX. 05+qX. 25 = 4.65

n is 3 greater than q

n = q+3

substitute n equal to 'q+3'

(q+3) X. 05 + qX. 25 = 4.65

.05q +.15 +.25q = 4.65

.30q +.15 = 4.65

.30q = 4.50

q = 4.50/.30 = 15

n = 15+3 = 18

There are 18 nickels and 15 quarters