Write a System of Equations for the Problem, and Then

Multiple Choice

Write a system of equations for the problem, and then solve the system.
-John has a jarful of quarters and nickels. There are 83 coins in the jar. The value of the coins is $12.75. How many of each type of coin?Number of coins

A) 40 quarters and 43 nickels
B) 48 quarters and 35 nickels
C) 43 quarters and 40 nickels
D) 78 quarters and 5 nickels