You have a total of 52 dimes and quarters. you have 10 more quarters than dimes. which system of equations can you use to find the number x of quarters and number y of dimes you have? use the system to determine how much money you have in quarters and dimes.

$7.75 in quarters and $2.1 in dimes.

Step-by-step explanation:

If we let represent the number of quarters, and let represent the number of dimes, then we have the equation

this says that the total number of dimes and quarters is 52.

And since there 10 more quarters than dimes

which can be rewritten as

this says that you have 10 more quarters than dimes.

Thus we have the system of equations

(1).

(2).

and solve this system by subtracting the second equation from the first equation to get:

we have got 21 dimes.

Now we substitute into equation (1) and solve for :

we have got 31 quarters.

Since a quarter is worth $0.25 and a dime is $0.1, the amount of money we have is

in quarters dollars

and in dimes dollars.

table 3 represents a direct variation function. : )