Question

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?

Answer 1

N + q = 28
0.05n + 0.25q = 4

Answer 2

Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4.

Let n be the number of nickels

and q be the number of quarters

1 nickels = $0.05 , so n nickels cost = 0.05n

1 quarter = $0.25, so q quarters cost = 0.25q

Total number of coins = 28

number of nickels + number of quarters = 28

n + q = 28 ------- equation 1

Total ticket cost =$4

cost of n nickels + cost of q quarters = $4

0.05n + 0.25q = 4 -------> equation 2

system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used are

n + q = 28

0.05n + 0.25q = 4