SOLUTION: Michael has $2.08, consisting of pennies, nickels, and dimes. If he has one-half as many dimes as nickels and three times as many pennies as nickels, how many of each coin does he

Algebra.Com
Question 988908: Michael has $2.08, consisting of pennies, nickels, and dimes. If he has one-half as many dimes as nickels and three times as many pennies as nickels, how many of each coin does he have?
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
p = number of pennies
n = number of nickels
d = number of dimes

p + 5n + 10d = 208
d = n/2
p = 3n

Write everything in terms of n.

3n + 5n + 10(n/2) = 208
13n = 208
n = 16

Michael has 48 pennies, 16 nickels, and 8 dimes.

RELATED QUESTIONS

Michael has some coins in his pocket consisting of dimes, nickels and pennies.He has... (answered by oberobic)
1. Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a (answered by stanbon)
Jonathan finds 52 cents in his car consisting of pennies, nickels, and dimes. He finds 2... (answered by ikleyn)
1. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and (answered by josmiceli)
Mr. Nilo Gaw has some coins in his pocket consisting of dimes, nickels and pennies. He... (answered by vleith)
Meghan has $1.10 in dimes, nickels, and pennies. She has three times as many nickels as... (answered by josgarithmetic)
Megan has $1.10 in dimes,nickels, and pennies.She has three times as many nickels as... (answered by CubeyThePenguin)
A boy has 93 cent in pennies, nickels, dimes, and quarters. He has two more quarters than (answered by EMStelley)
Jose has some coins in his pocket consisting of dimes, nickels, and pennies. He has two... (answered by VFBundy)