SOLUTION: Jeb has 15 coins. They are all quarters and dimes. He has a total of $2.10. How many dimes does he have?

Question 164155: Jeb has 15 coins. They are all quarters and dimes. He has a total of $2.10. How many dimes does he have?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Jeb has 15 coins. They are all quarters and dimes. He has a total of $2.10. How many dimes does he have?
-----------------
D = # of dimes
Q = # of quarters
D+Q = 15
10D + 25Q = 210
Q = 15-D (from the 1st eqn)
Sub into the 2nd eqn
10D + 25*(15-D) = 210
10D + 375 - 25D = 210
-15D = -165
D = 11
To check:
Q = 15-D = 4
4*25 + 11*10 is 210, so it's correct.
RELATED QUESTIONS
Jeb has 25 coins. They are all quarters and nickels. He has a total of $2.85. How many (answered by Alan3354)

jeb has five dollars worth of coins, but none of them are nickles or quarters. he has one (answered by fractalier)

caleb has $10.95 in quarters, dimes and nickels. he has four more dimes than quarters. he (answered by Alan3354)

Stefan has a collection of nickels, dimes, and quarters. In all, he has 24 coins. seven... (answered by stanbon)

Stefan has a collection of nickels, dimes, and quarters. in all, he has 24 coins. seven... (answered by TimothyLamb)

A man has 15 coins in his pocket, all of which are dimes and quarters. If the total value (answered by richwmiller)

Philip has 15 coins all dimes and quarters, worth $2.25. How many dimes and quarters does (answered by mananth)

Robert has 39 coins in his pocket. They are all dimes and quarters and total $6.00.... (answered by mananth)

Richard has 22 coins with a total value of $4. If the coins are all quarters and dimes,... (answered by ankor@dixie-net.com)