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sarah has dimes and nickels which total $1.65. the number of nickels she has is 3 less than the number of dimes. how many of each does she have?

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asked by ryan
  1. let d=#dimes
    10d=value dimes
    d-3=#nickels
    5(d-3)=value nickels

    10d+5(d-3)= 165 total value=$1.65
    10d+5d-15=165 distribute
    15d-15=165 combine like terms
    15d=180 add 15 to both sides
    d=12 divide both sides by 15

    You have 12 dimes and (d-3)nickels
    or (12-3) nickels which is 9 nickels

    Therefore, solution = 12 dimes and
    9 nickels

    Check: 12x.10=1.20
    9x.05=0.45
    Sum =1.65

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    posted by KELLY

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