SOLUTION: Adam has $1.14 in change made up of pennies, nickels and dimes. He has 6 more nickels than pennies and 6 fewer dimes than pennies. How many of each coin does he have.
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Question 328847: Adam has $1.14 in change made up of pennies, nickels and dimes. He has 6 more nickels than pennies and 6 fewer dimes than pennies. How many of each coin does he have. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Write an equation for each statement
:
Adam has $1.14 in change made up of pennies, nickels and dimes.
.01p + .05n + .10d = 1.14
get rid of the decimals, mult by 100
1p + 5n + 10d = 114
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He has 6 more nickels than pennies
n = p + 6
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6 fewer dimes than pennies.
d = p - 6
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How many of each coin does he have.
Everything in terms of p
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Using the 1st equation replace n and d using the 2nd and 3rd equation
1p + 5(p+6) + 10(p-6) = 114
:
p + 5p + 30 + 10p - 60 = 114
:
16p - 30 = 114
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16p = 114 + 30
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16p = 144
p =
p = 9, pennies
:
I'll let you find n and d, check solution in original 1st equation
