Question

Sally gave her brother $3.95 in quarters and dimes. if the number of quarters is 6 more than the number of dimes, how many quarters did sally give her brother? sally gave her brother quarters. nextreset

Answer 1

13 quarters
q=6+d
25q+10d=395
solve for q and get 13

Answer 2

13 quarters.

Explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that the number of quarters is 6 more than the number of dimes. We can represent this information in an equation as:

`q=d+6...(1)`

We know that value of one dime is $0.10, so value of d dimes would be
`0.10d`.

We know that value of one quarter is $0.25, so value of q quarters would be
`0.25q`.

We have been given that Sally gave her brother $3.95 in quarters and dimes. We can represent this information in an equation as:

`0.10d+0.25q=3.95...(2)`

Now, we have a system of linear equation and we will solve our system by substitution method.

From equation (1), we will get:

`q-6=d`

Upon substituting this value in equation (2), we will get:

`0.10(q-6)+0.25q=3.95`

`0.10q-0.60+0.25q=3.95`

`0.35q-0.60=3.95`

`0.35q-0.60+0.60=3.95+0.60`

`0.35q=4.55`

`(0.35q)/(0.35)=(4.55)/(0.35)`

`q=13`

Therefore, Sally gave her brother 13 quarters.