SOLUTION: A jar of change has 28 coins which is worth $2.60. If the jar only has nickels and dimes, how many of each type are in the jar?

Question 942839: A jar of change has 28 coins which is worth $2.60. If the jar only has nickels and dimes, how many of each type are in the jar?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
N=nickels, D=dimes
N+D=28; N=28-D
5N+10D=260 Substitute for N, find D
5(28-D)+10D=260
140-5D+10D=260
140+5D=260 subtract 140 from each side
140+5D-140=260-140
5D=120
D=24 There are 24 dimes
N=28-D=28-24=4 There are 4 nickels
CHECK
24($0.10)+4($0.05)=$2.60
$2.40+$0.20=$2.60
$2.60=$2.60

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