Kendra has $ 8.80 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have

Question

Kendra has  in dimes and quarters. If she has  times as many quarters as dimes, how many of each coin does she have?

dimes=x

quarters=4x

dimes & quarters=$8.80

Answer 1

Hello Marisa,

First, let's set up some expressions for the problem, okay?

Dimes = x

Quarters = 4x

When thinking of the problem, it is helpful to remember the currency, meaning a dime is .10 and a quarter is .25, of a dollar.

Therefore, .10x + .25(4x) = 8.80

Do you see how we arrived at this equation given the information I provided you? Now, let's take that equation and begin simplifying it, okay?

.10(x) + 1.00(x) = 8.80

.10x + x = 8.80

1.10x = 8.80

x = 8 <-----the number of dimes

4(x) = 4(8) = 32 <---the number of quarters.

Now let's check our work, okay?

.10 (8) = .80

.25(32)=8.00

-----------------

$8.80

The solution checks out.

I hope this solution assists you and wish you a great rest of the week. If you need clarity to this solution, please feel free to place a comment or feedback under the solution. If you need further assistance, please feel free to contact any tutor. Best!