SOLUTION: A box contains 36 coins, of pennies, dimes and quarters. The # of pennies = dimes, and the total value is $2.76. How many of each denomination of coin is there?

Question 523862: A box contains 36 coins, of pennies, dimes and quarters. The # of pennies = dimes, and the total value is $2.76. How many of each denomination of coin is there?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Number of Pennies = x
Number of Dimes = x
Number of Qurters = 36-2x
Total Coins = 36
Total Amouint = 2.76 =2.76*100=276 pennies

x+10x+25(36-2x)=276
11x+900-50x=276
-39x=276-900
-39x=-624
-39x/-39=-624/-39
x=16

Number of Pennies = x = 16
Number of Dimes = x = 16
Number of Qurters = 36-2x = 36-2(16)=36-32=4

Check
=====
1*16+10*16+25*4=276
16+160+100=276
276=276

RELATED QUESTIONS
A box contains 27 coins consisting of pennies, dimes and quarters. The number of dimes... (answered by ewatrrr)

a box contains 34 coins, consisting of pennies dimes and quaters. the number of pennies... (answered by chessace)

a box contains 34 coins, consisting of pennies dimes and quaters. the number of pennies... (answered by chessace,htmentor)

Taylor has a box of coins that she uses when she plays poker with her friends. The box... (answered by stanbon)

I have a bag that contains 50 coins. The total value of these coins is $1.00. How many... (answered by Edwin McCravy)

Please, Please help me. I just don't understand what to do. I've tried equation... (answered by ptaylor)

Otis Taylor has a box of coins that he uses when playing poker with his friends. The box (answered by stanbon,checkley71)

A man has a box of coins that he uses when playing poker with friends. The box currently... (answered by greenestamps)