Solve the problem using matrices.
-John has a jarful of quarters and nickels. There are 101 coins in the jar. The value of the coins is $\$ 16.05$. How many of each type of coin are there?
A) 55 quarters; 46 nickels
B) 60 quarters ; 41 nickels
C) 46 quarters; 55 nickels
D) 96 quarters; 5 nickels

Question

Quizplus · Accepted Answer

Let $q$ represent the number of quarters and $n$ represent the number of nickels. We have two equations based on the problem statement:1. $q + n = 101$ (since there are 101 coins in total)2. $0.25q + 0.05n = 16.05$ (since the total value of the coins is $16.05, with each quarter worth $0.25 and each nickel worth $0.05)We can solve this system of equations using matrices or substitution/elimination methods. Using matrices or any other method, we find that $q = 55$ and $n = 46$, which corresponds to choice A: 55 quarters and 46 nickels.

Solve the Problem Using Matrices $16.05\$ 16.05$16.05 How Many of Each Type of Coin Are There

Solve the Problem Using Matrices $\$ 16.05$ How Many of Each Type of Coin Are There