Joanna has a total of 50 coins in her purse. the coins are either nickels or quarters. the total value of the coins is $7.10.

which system of equations can be used to determine the number of nickels, n, and quarters, q, that joanna has in her purse?

a. n+q+50
0.05n+0.25q=7.10

b. n+q=7.10
50n+50q=7.10

c. 0.05n+0.25q=50
n+q=7.10

d. 0.05n+ 0.25q= 7.10
50n+50q=7.10

Option A.

Step-by-step explanation:

Let

n-----> the number of nickels

q----> the number of quarters

Remember that

we know that

----> equation A

-----> equation B

using a graphing tool-----> solve the system of equations

The solution is the point (27,23)

see the attached figure

therefore

The number of nickels is 27

The number of quarters is 23

Actually Welcome to the Concept of the Straight lines.

so here, we get as,

Y = -X + 2