Answers:
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Work Shown:
$4.05 = 405 cents
d = number of dimes
q = number of quarters
q = d+5 since she has 5 more quarters compared to dimes
10d = value in cents of all the dimes
25q = value in cents of all the quarters
10d+25q = total value in cents = 405
10d+25q = 405
10d+25(d+5) = 405
10d+25d+125 = 405
35d+125 = 405
35d = 405-125
35d = 280
d = 280/35
d = 8
She has 8 dimes
q = d+5 = 8+5 = 13
She also has 13 quarters
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1 dime = 10 cents
8 dimes = 80 cents (multiply both sides by 80)
1 quarter = 25 cents
13 quarters = 325 cents (multiply both sides by 13)
8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents
This converts back to $4.05, which confirms our answers.