Money word equation, algebra 1

Question

Wendy had $10.60 in dimes and quarters. If she had a total of 94 dimes and quarters, how many of each type of coin did she have

Answer 1

Easier to use cents and avoid decimals or fractions.

10D + 25Q = 1060 (equation for value)

D + Q = 94, so D = 94 - Q. Use substitution.

10(94 - Q) + 25Q = 1060

940 - 10Q + 25Q = 1060

15Q = 120

Q = 8 quarters; D = 94 - 8 = 86 dimes.

Answer 2

setup is

10.6=.1x+.25y

94=x+y

second equation same as

94/4=(x/4)+y/4

subtract 1st equation from second

516/40=6x/40

x=86,,,,y=94-86=8

86 dimes and 8 quarters=$10.60