Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria specials at a high school in Ashland are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 14 turkey sandwiches and 61 chef salads, for a total of $150. During the late lunch, 14 turkey sandwiches and 25 chef salads were sold, for a total of $78. How much does each item cost? A turkey sandwich costs $ , and a chef salad costs $ .

Answer 1

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2