A restaurant sells four combo meals Jolly Meal which cost 12

A restaurant sells four combo meals. Jolly Meal, which cost $12.60, consists of 2 yogurt cups and 1 sandwich. The Special Meal, which is made up of 2 sandwiches and 1 yogurt cup, cost $13.50. Calculate the cost of the following combo meals if the charge for sandwiches and yogurt cups are the same for all combo meals. a) Children\'s Meal: 1 sandwich and 1 yogurt cup b) Family Meal: 2 sandwiches and 3 yogurt cups Chapter 5 Systems of Linear Equations

Solution

Assuming

Price of 1 Yogurt = y

Price of 1 sandwich = s

given that:

2y + s = 12.60

y + 2s = 13.50

Solving both equations:

4y + 2s = 25.20

y + 2s = 13.50

Subtract both equation:

3y = 11.7

y = 11.7/3 = $3.9

y + 2s = 13.5

2s = 13.5 - 3.9

s = (13.5 - 3.9)/2 = $4.8

A.

1 sandwhich + 1 yogurt = $4.8 + $3.9 = $8.7

B.

2 sandwich + 3 yogurt = 2*4.8 + 3*3.9 = $21.3