Question

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.50. Today they made $135.50 from the 117 wraps sold. How many of the wraps sold were vegetarian?

Answer 1

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Explanation:

Let

Number of vegetarian wraps = x

Number of chicken wraps = y

x + y = 117 (1)

x + 1.5y = 135.50 (2)

Subtract (1) from (2) to eliminate x

1.50y - y = 135.50 - 117

0.50y = 18.50

y = 18.50/0.50

y = 37

Substitute y = 37 into (1)

x + y = 117 (1)

x + 37 = 117

x = 117 - 37

x = 80

Number of vegetarian wraps = 80

Number of chicken wraps = 37