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?

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Riia Riia · Answer 1 · 2018-09-04T13:23:34+02:00

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.

[tex] d+q =30 [/tex]

And total amount is 4.80.

[tex] 0.1d + 0.25q=4.80 [/tex]

So the system of equations are

[tex] d+q = 30, 0.1d + 0.25q = 4.80 [/tex]

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carlosego carlosego · Answer 2 · 2018-09-04T13:30:31+02:00

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:

[tex] d + q = 30 [/tex]

The toal value of Kyles coins is $ 4.80:

[tex] 0.1d + 0.25q = 4.80 [/tex]

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:

[tex] d + q = 30 [/tex]

[tex] 0.1d + 0.25q = 4.80 [/tex]