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Kara has 162 coins in her collection of nickels, dimes, and quarters, which has a total value of 22 dollars   If Kara has twleve fewer nickels than quarters, how many dimes does she have?

 May 7, 2020
 #1
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q = quarters        value = 25q

n = nickels  = q-12     value = 5(q-12)

d = dimes= 162- q - (q-12) = 162-2q+12 = 174-2q    value =   10(174-2q)       Summed, these all equal 2200  (22 dollars in cents)

so

 

25q + 5(q-12)  + 10 (174-2q) = 2200     solve for q    then dimes = 174-2q

 May 7, 2020

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