Question

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 ?

Answer 1

Sara has 25 dimes in her collection.

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

`q+d=35.`

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

`0.25q+0.1d=5.`

Thus we have two equations and two unknowns:

1. 
   `q+d=35.`
2. 
   `0.25q+0.1d=5.`

From equation 1 we solve for
`q` and get

`q=35-d`

and put this value into equation 2 and we get:

`0.25(35-d)+0.1d=5.`

Solve for d we get:

`\boxed{d=25}`

Therefore there are 25 dimes in Sara's collection.