Question

Jack and Jill were buying water jugs jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars and Jill bought 4 medium jugs and 12 large jugs for 360 dollars

Answer 1

Answer: the cost of one medium sized jug is $60

the cost of one large sized jug is $10

Step-by-step explanation:

Let x represent the cost of one medium sized jug.

Let y represent the cost of one large sized jug.

Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that

2x + 3y = 150 - - - - - - - - - - - 1

Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that

4x + 12y = 360 - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 2, it becomes

8x + 12y = 600

8x + 24y = 720

Subtracting, it becomes

- 12y = - 120

y = - 120/ - 12

y = 10

Substituting y = 10 into equation 1, it becomes

2x + 3 × 10 = 150

2x + 30 = 150

2x = 150 - 30 = 120

x = 120/2 = 60