Question

The only coins that Alexis has are dimes and quarters. Her coins have a total value of $5.80. She

has a total of 40 coins. How many does she have of each coin?

Answer 1

Alexis has 28 dimes and 12 quarters

Explanation:

Remember that

`1\ dime=\$0.10`

`1\ quarter=\$0.25`

Let

x ---->the number of dimes Alexis has

y ---> the number of quarters Alexis has

we know that

`x+y=40` -----> equation A

`0.10x+0.25y=5.80` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using graphing tool

The solution is the point (28,12)

see the attached figure

therefore

Alexis has 28 dimes and 12 quarters