SOLUTION: Bill has 13 coins in his pocket that have a total value of 95 cents. If these coins consist of nickels and dimes, how many of each kind are there?

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Question 805614: Bill has 13 coins in his pocket that have a total value of 95 cents. If these coins consist of nickels and dimes, how many of each kind are there?
Answer by MathLover1(20850) About Me  (Show Source):
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Let x be the number of nickels. So 5x is the amount of money in nickels.
Let y+be the number of dimes. So 10y is the amount of money in dimes.
given:
x%2By=13...................eq.1
5x%2B10y=95.........eq.2
______________________ solve the system
x%2By=13...................eq.1.....solve for x
x+=13-y...................eq.1a................substitute in eq.2
5%2813-y%29%2B10y=95.........eq.2.....solve for y
65-5y%2B10y=95
5y=95-65
5y=30
y=30%2F5
highlight%28y=6%29........the number of dimes

x+=13-y
x+=13-6
highlight%28x+=7%29.............the number of nickels
so, you have 6 dimes and 7 nickels