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