Momo has $4.05 in dimes and quarters. If she has 5 more quarters than dimes, how many of each does she have? Show your work and write a complete
sentence answer

Answers:

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

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.

so then what are you asking?

step-by-step explanation: