Sara has a connection of 35 coits that consists of quarters and dimes . the total value of the coins is $5.00 how many dimes are in sara’s collection ?

Sara has 25 dimes in her collection.

Step-by-step explanation:

A quarter is 1/4 or 0.25 of a dollar, and a dime is 1/10 or 0.1 of a dollar.

Let represent the number of quarters Sara has, and the number of dimes she has. Then we know that:

And since the total worth of these coins is $5, we have:

Thus we have two equations and two unknowns:

From equation 1 we solve for and get

and put this value into equation 2 and we get:

Solve for d we get:

Therefore there are 25 dimes in Sara's collection.

except a rational number. : )