Question

5 bottles of water and 5 cans of soda cost $8 . The cost of 5 bottles of water is half the cost of the 5 cans of soda . What is the cost of 1 bottle of water ? -Apex

Answer 1

To find the cost of one bottle of water, we set up and solved a system of linear equations based on the given conditions. The cost is determined to be $0.53 per bottle after solving the equation.

Step-by-step explanation:

The question involves solving a system of linear equations to find the cost of one bottle of water when 5 bottles of water and 5 cans of soda cost $8 altogether, and 5 bottles of water cost half as much as 5 cans of soda.

Step-by-Step Solution

1. Let the cost of one bottle of water be w dollars.
2. As given, the cost of 5 bottles of water is half the cost of the 5 cans of soda. So, if 5 bottles cost 5w dollars, the 5 cans of soda cost 2 * 5w = 10w dollars.
3. Since the total cost for 5 bottles of water and 5 cans of soda is $8, we combine the costs: 5w + 10w = 8.
4. Solve the equation: 15w = 8, which gives us w = 8 / 15.
5. Therefore, the cost of one bottle of water is $0.53 (rounded to two decimal places).