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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

Respuesta :

calculista

Answer:

Option A.

Step-by-step explanation:

Let

n-----> the number of nickels

q----> the number of quarters

Remember that

[tex]1\ nickel=\$0.05[/tex]

[tex]1\ quarter=\$0.25[/tex]

we know that

[tex]n+q=50[/tex] ----> equation A

[tex]0.05n+0.25q=7.10[/tex] -----> 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

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