Question

Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?

Answer 1

chef salads = $2

turkey sandwiches = $1

Explanation:

two equations can be derived from the question

13t + 69c = 151 eqn 1

61t + 41c = 143 eqn 2

t = turkey sandwiches

c = chef salads

multiply equation 1 by 61 and equation 2 by 13

793t + 4209c = 9211 eqn 3

793t + 533c = 1859 eqn 4

subtract equation 4 from 3

7352 = 3676c

c =2

substitute for c in equation 1

13t + 69(2) = 151

13t + 138 = 151

13t = 151 - 138

13t = 13

t = 1