Question

solve each of the following scenarios using bar diagrams.
a restaurant sells four combo meals.
jolly meal, which costs $7, consists of 2 yogurt cups and 1 sandwich.
the special meal, which is made up of 2 sandwiches and 1 yogurt cup, costs $12.50.
cost per yogurt cup: $
cost per sandwich: $
calculate the cost of the following combo meals if the charge for sandwiches and yogurt cups are the same for all combo meals.
children’s meal: 1 sandwich and 1 yogurt cup
meal $

Explanation:

Step1: Define variables

Let $x$ = cost of 1 sandwich, $y$ = cost of 1 yogurt cup.

Step2: Set up equations

Jolly Meal: $2y + x = 7$
Special Meal: $2x + y = 12.50$

Step3: Solve for $x$ (Step1)

From first equation: $x = 7 - 2y$

Step4: Substitute into second equation

$2(7 - 2y) + y = 12.50$
$14 - 4y + y = 12.50$
$14 - 3y = 12.50$

Step5: Solve for $y$

$-3y = 12.50 - 14$
$-3y = -1.50$
$y = \frac{-1.50}{-3} = 2.50$

Step6: Solve for $x$

$x = 7 - 2(2.50) = 7 - 5 = 2$

Step7: Calculate Children's Meal cost

$x + y = 2 + 2.50 = 4.50$

Answer:

cost per yogurt cup: $\$2.50$
cost per sandwich: $\$2.00$
Children's Meal: $\$4.50$