SOLUTION: A man has a box of coins that he uses when playing poker with friends. The box currently contains 50 ​coins, consisting of​ pennies, dimes, and quarters. The number of pennies

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A man has a box of coins that he uses when playing poker with friends. The box currently contains 50 ​coins, consisting of​ pennies, dimes, and quarters. The number of pennies       Log On


   

Question 1152382: A man has a box of coins that he uses when playing poker with friends. The box currently contains 50 ​coins, consisting of​ pennies, dimes, and quarters. The number of pennies is equal to the number of​ dimes, and the total value is ​$5.48. How many of each denomination of coins does he​ have?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
system%28p%2Bd%2Bq=50%2Cp=d%2Cp%2B10d%2B25q=548%29

system%282d%2Bq=50%2C11d%2B25q=548%29

subst for q
11d%2B25%2850-2d%29=548


11d%2B25%2A50-50d=548
11d-50d=548-25%2A50
50d-11d=25%2A50-548
39d=702
highlight_green%28d=18%29
Use this to find the other two quantities.