Question

Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.

Answer 1

d = numbers of dimes

q = numbers of quarters

1 dime = 10 cents = $ 0.1

1 quarter = 25 cents = $ 0.25

Jason has $2.25 means:

0.1 d + 0.25 q = 2.25

He has twice as many dimes as quarters means:

d = 2 q

Put this value in equation:

0.1 d + 0.25 q = 2.25

0.1 ∙ 2 q + 0.25 q = 2.25

0.2 q + 0.25 q = 2.25

0.45 q = 2.25

q = 2.25 / 0.45 = 5

d = 2 q = 2 ∙ 5 = 10

10 dimes and 5 quarters

10 ∙ $ 0.1 + 5 ∙ $ 0.25 = $ 1 + $ 1.25 = $ 2.25