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.Com
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)   (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

RELATED QUESTIONS

You have 15 coins in your pocket. The coins are either quarters or dimes.You have a total (answered by ichigo449,richwmiller)
you have two quarters and five Dimes in your pocket write the ratio of quarters to total... (answered by ewatrrr)
Frankie has 22 coins in pocket worth a total of $4.75. If Frankie only has dimes and... (answered by gabriel24)
you have total of 51 coins in your pocket. you only have quarters and dimes. the total... (answered by TimothyLamb)
In your pocket you have 25 coins (quarters and dimes). The total value of coins is $4.15. (answered by JBarnum)
You have 15 coins in your pocket all quarters and dimes. They total up to $3.15. How many (answered by solver91311)
You have a five-dollar bill and a total of $11.30 in your pocket. You have 3 times as... (answered by josgarithmetic)
You have a mixture of dimes,quarters and nickels in your pocket. There are twice as many... (answered by advanced_Learner)
1. State the variables 2. Write a system of equations 3. Write a matrix equation 4.... (answered by richwmiller)