Answer: (a) $8.70 (b) $17.40
Explanation:
Use the information provided to create a system of equations. Then solve the system using any method (I will be using the elimination method) to find the cost of each individual item.
Let y represent the cost of a yogurt and s represent the cost of a sandwich.
Jolly: 2y + 1s = $12.60 --> 1(2y + 1s = $12.60) --> 2y + 1s = 12.60
Special: 1y + 2s = $13.50 -->-2(1y + 2s = $13.50) --> -2y - 4s = -27.00
-3s = -14.40
÷ -3 ÷ -3
s = 4.80
Input the s-value into either of the equations to solve for "y"
Special: y + 2(4.80) = 13.50
y + 9.60 = 13.50
y = 3.90
Input both the s and y-values into the Children's Meal and Family Meal to find their costs:
Children's: 1y + 1s Family: 3y + 2s
= (3.90) + (4.80) = 3(3.90) + 2(4.80)
= 8.70 = 7.80 + 9.60
= 17.40