SOLUTION: Sam has 26 coins in nickels and quarters worth $3.10. How many of each coin does he have.

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Question 943212: Sam has 26 coins in nickels and quarters worth $3.10. How many of each coin does he have.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
N=nickels, Q=Quarters
N+Q=26; .05(N)+.25(Q)=$3.10
Q=26-N
.05(N)+.25(26-N)=3.10
.05N+6.5-.25N=3.10
-.20N+6.5=3.1
-.20N=-3.4
N=17 There are 17 nickels
N+Q=26
17+Q=26
Q=9 There are 9 quarters
CHECK
.05(N)+.25(Q)=$3.10
.05(17)+.25(9)=$3.10
0.85+2.25=$3.10
$3.10=$3.10