Question

The cost of three gallons of milk and two cartons of juice is $20.25. The cost of four gallons of milk and two cartons of juice is $24.50. What is the cost of one gallon of milk? (A) $3.50 (B) $3.75 (C) $4.00 (D) $4.25 (E) $5.25

Answer 1

By setting up a system of equations and subtracting them, we find that the cost of one gallon of milk is d. $4.25.

Step-by-step explanation:

We are given two equations based on the cost of gallons of milk and cartons of juice. We can set up a system of equations to find the cost of one gallon of milk. Let's denote M as the cost of one gallon of milk and J as the cost of one carton of juice.

From the first statement, we have:

3M + 2J = $20.25 ........(1)

From the second statement, we have:

4M + 2J = $24.50 ........(2)

To find the cost of one gallon of milk, subtract equation (1) from equation (2):

4M + 2J - (3M + 2J) = $24.50 - $20.25

M = $4.25

So the cost of one gallon of milk is $4.25.