Question

Sam has $4.30 in quarters and nickels. He has 26 coins in all. The following system of equations can be used to represent this situation. 0.25q +0.05n = 4.30 q+n=26 What does the solution to the system (q, n) represent? (4 pts.) A.There is not enough information to determine. B.The value of the quarters and nickels Sam has C.The number of quarters and the number of nickels Sam has. D.The total amount of money Sam has.

Answer 1

C.The number of quarters and the number of nickels Sam has.

Step-by-step explanation

We have that the system of equations representing the situation is:

0.25q + 0.05n = 4.30

q + n = 26

The solution to the system of equations (q, n) will represent the number of quarters and nickels that Sam has.

This is because the sum of q and n is 26 and we are told that Sam has 26 coins.

Therefore, we can conclude that (q, n) represents the number of quarters and nickels that Sam has.