Exciting Math Problem: Calculate the Cost of Items!
What are the costs of a bottle of water, a gallon of milk, and a snack-size bag of chips?
If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.70 more than a bottle of water, how much does each item cost?
(A) The cost of a bottle of water is $2.40, the cost of a gallon of milk is $4.10, and the cost of a snack-size bag of chips is $1.20.
(B) The cost of a bottle of water is $1.20, the cost of a gallon of milk is $3.90, and the cost of a snack-size bag of chips is $0.60.
(C) The cost of a bottle of water is $1.20, the cost of a gallon of milk is $2.90, and the cost of a snack-size bag of chips is $1.60.
(D) The cost of a bottle of water is $2.40, the cost of a gallon of milk is $3.90, and the cost of a snack-size bag of chips is $0.60.
Answer:
The cost of a bottle of water is $1.20, the cost of a gallon of milk is $3.90, and the cost of a snack-size bag of chips is $0.60.
Option (B) is the correct answer.
To find the cost of each item, we can set up a system of equations based on the given information. Let's represent the cost of a bottle of water as W, the cost of a gallon of milk as M, and the cost of a snack-size bag of chips as C.
From the information given:
- A bottle of water costs twice as much as a bag of chips: W = 2C
- A gallon of milk costs $1.70 more than a bottle of water: M = W + $1.70
We also know that you picked up 3 gallons of milk, 5 bottles of water, and 6 snack-size bags of chips for a total cost of $21.60.
By solving the equations, we find that the cost of a bottle of water is $1.20, a gallon of milk is $3.90, and a snack-size bag of chips is $0.60, which matches option (B).