Question

Penelope has $3.40 worth of dimes and quarters. She has a total of 22 dimes and quarters altogether. Determine the number of dimes and the number of quarters that Penelope has.

Answer 1

Penelope has 14 dimes and 8 quarters

Explanation:

Remember that

`1\ dime=\$0.10`

`1\ quarter=\$0.25`

Let

x ----> the number of dimes

y ----> the number of quarters

we know that

`x+y=22` ----> equation A

`0.10x+0.25y=3.40` ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (14,8)

see the attached figure

therefore

Penelope has 14 dimes and 8 quarters