SOLUTION: Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as pennies, and the number of dimes is two less than the number of pennies. How many dimes, nickel

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as pennies, and the number of dimes is two less than the number of pennies. How many dimes, nickel      Log On

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Question 1023011: Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as pennies, and the number of dimes is two less than the number of pennies. How many dimes, nickels, and pennies does she have?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
p = number of pennies
n = number of nickels
d = number of dimes

n = 3p
d = p - 2
p + 5n + 10d = 110

Write everything in terms of p.

p + 5n + 10d = 110
p + 5(3p) + 10(p-2) = 110
p + 15p + 10p - 20 = 110
26p = 130
p = 5

Megan has 5 pennies, 15 nickels, and 3 dimes.