Question

Four (4) cupcakes and three (3) milkshakes cost $23. Two (2) cupcakes and four (4) milkshakes cost $24. Calculate the cost of one cupcake and one milkshake.

Answer 1

Explanation:

Let the cupcake cost = c

Let the milkshake cost = m

4c + 3 m = 23

2c + 4m = 24 multiply this equation by 2

2(2c + 4m = 24)

4c + 8m = 48 Now put the first equation underneath this one

4c + 3m = 23 Subtract

5m = 25 Divide by 5

m = 25/5

m = 5

Use 2c + 4m = 24

m = 5

2c + 4*5 = 24 Combine

2c + 20 = 24 Subtract 20 from both sides

2c = 24 - 20

2c = 4 Divide by 2

c = 4/2

c = 2

Answer

• cupcakes = $2.00
• Milkshakes= $5.00