Question

The only coins that kyle has are dimes and quarters. He has a total of 30 coins. The toal value of Kyles coins is $4.80. Which of he following system of equations can be used to find the number of dimes, d, and the number of quarters, q, kyes has?

Answer 1

In the given question, it is given that

The only coins that kyle has are dimes and quarters. He has a total of 30 coins. The toal value of Kyles coins is $4.80.

Total coins are 30.

`d+q =30`

And total amount is 4.80.

`0.1d + 0.25q=4.80`

So the system of equations are

`d+q = 30,  0.1d + 0.25q = 4.80`

Answer 2

For this case, the first thing we must do is define variables.

We have then:

d: number of dimes

q: number of quarters

We now write the system of equations that models the problem.

We have then:

He has a total of 30 coins:

`d + q = 30`

The toal value of Kyles coins is $ 4.80:

`0.1d + 0.25q = 4.80`

Answer:

A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:

`d + q = 30`

`0.1d + 0.25q = 4.80`