yolanda paid for her movie ticket using 28 coins, all nickels and quarters. the ticket cost $4. which system…

yolanda paid for her movie ticket using 28 coins, all nickels and quarters. the ticket cost $4. which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, yolanda used?\n\nn + q = 28\n0.05n + 0.25q = 4\n\nn + q = 4\n5n + 25q = 28\n\nn + q = 28\n5n + 25q = 4\n\nn + q = 4\n0.05n + 0.25q = 28

yolanda paid for her movie ticket using 28 coins, all nickels and quarters. the ticket cost $4. which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, yolanda used?\n\nn + q = 28\n0.05n + 0.25q = 4\n\nn + q = 4\n5n + 25q = 28\n\nn + q = 28\n5n + 25q = 4\n\nn + q = 4\n0.05n + 0.25q = 28

Answer

Answer:

A. $n + q=28$; $0.05n + 0.25q = 4$

Explanation:

Step1: Total - number - of - coins equation

The total number of coins is 28. Since $n$ is the number of nickels and $q$ is the number of quarters, the sum of the number of nickels and quarters is the total number of coins. So, $n + q=28$.

Step2: Total - value - of - coins equation

A nickel is worth $0.05$ dollars and a quarter is worth $0.25$ dollars. The total cost of the ticket is $4$ dollars. The value of the nickels is $0.05n$ and the value of the quarters is $0.25q$. So, $0.05n+0.25q = 4$.