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

Answer:

13 quarters.

Step-by-step 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:

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

$0.10q-0.60+0.25q=3.95$

$0.35q-0.60=3.95$

$0.35q-0.60+0.60=3.95+0.60$

$0.35q=4.55$

$\frac{0.35q}{0.35}=\frac{4.55}{0.35}$

$q=13$

Therefore, Sally gave her brother 13 quarters.