SOLUTION: you have a coin bank that has 275 dimes and quarters that total $51.50. How many of each type of coin do you have in the bank?

Algebra.Com
Question 418060: you have a coin bank that has 275 dimes and quarters that total $51.50. How many of each type of coin do you have in the bank?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
275 dimes and quarters
Let x and (275 -x) represent the number of quarters and dimes respectively
Question states*** CENTS makes sense
25x + 10(275-x) = 5150
15x = 2400
x = 160, number of quarters. 115 dimes (275-160)
Solving for x
CHECKING our Answer***
25+160 + 10*115 = 4000 + 1150 = 5150 or $51.50
RELATED QUESTIONS

You have a coin bank that has 100 nickels and dimes the total value of the coins is... (answered by jorel555)
You have 10 coins, quarters and dimes, in your wallet that total $2.05. You have 4 more... (answered by Boreal)
In a bag are quarters and dimes. If you have a total of 16 coins worth $3.10 how many of... (answered by josgarithmetic)
My piggy bank has 28 coins in it that are only nickels, dimes, and quarters. I have... (answered by Alan3354,ikleyn)
You have $3.70 in dimes and quarters, You have 5 more quarters than dimes. How many of... (answered by macston)
You have $3.40 in quarters and dimes. You have one more quarter than you have dimes. How... (answered by DrBeeee)
Seth has dimes and quarters on his bank that total 5.15, there are 8 more quarters than... (answered by Alan3354)
You have 42 coins in your piggy bank. the bank contains only nickels and quarters and... (answered by math_helper)
You have 50 cent: pennies,nickles, dimes, quarters, and half dollars. The total value of... (answered by FrankM)