SOLUTION: Tim has a total of 60 nickels and quarters. if the total value of the coins is $11, how many quarters does he have?

Question 940928: Tim has a total of 60 nickels and quarters. if the total value of the coins is $11, how many quarters does he have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
N=Number of nickels, Q=number of quarters
N+Q=60 eq1
5N+25Q=1100 eq2 total value of the coins is $11
N+Q-Q=60-Q Solve eq1 for N
N=60-Q
5(60-Q)+25Q=1100 Substitute for N in eq2
300-5Q+25Q=1100
300+20Q=1100 Subtract 300 from each side
300+20Q-300=1100-300
20Q=800 Divide both sides by 20
20Q/20=800/20
Q=40 ANSWER The number of Quarters is 40
CHECK:
N+Q=60
N+40=60 Subtract 40 from each side
N+40-40=60-40
N=20
total value of the coins is $11
.05N + .25Q =$11
.05(20)+.25(40)=$11
$1+$10=$11
$11=$11

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