A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

A. 0.10q+0.25d=2.85
q+d=18

B. 0.10q+0.25d=18
q+d=2.85

C. 0.25q+0.10d=2.85
q+d=18

D. 0.25q+0.10d=18
q+d=2.85

Answers

Answer 1

Answer: A. 0.10q+0.25d=2.85

q+d=18

Step-by-step explanation:

Answer 2

The system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

Given that, a bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.

We need to find which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag.

What is the system of equations?

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

The number of quarters, q, and the number of dimes, d, in the bag.

Now, the number of quarters + the number of dimes=18

⇒q+d=18

The total value of the coins is $2.85.

So, 0.25q+0.10d=2.85

Therefore, the system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

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Step-by-step explanation:

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