SOLUTION: in your pocket you have a total of $3.55 in both quarters and dimes. you have a total of 22 coins in your pocket, only quarters and dimes. Write and solve a system of linear equati

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: in your pocket you have a total of $3.55 in both quarters and dimes. you have a total of 22 coins in your pocket, only quarters and dimes. Write and solve a system of linear equati      Log On


   



Question 275278: in your pocket you have a total of $3.55 in both quarters and dimes. you have a total of 22 coins in your pocket, only quarters and dimes. Write and solve a system of linear equations to find how many quarters and how many dimes you have in your pocket.
i don't see that there is enough information,so i don't know what to do with the numbers...can you please help me?

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Not being American, I assume a quarter is 25 cents and a dime is 10 cents.
Let the number of quarters be x, and therefore the number of dimes is 22 - x
So 25x + 10(22 - x) = 355
25x + 220 - 10x = 355
15x = 135
x = 9
so number of quarters is 9 and number of dimes is 13