College

James bought 3 bottles of water. Each bottle had 16 fluid ounces of water. He drank 22 fluid ounces of water while he was playing ball.

Let [tex]\( w \)[/tex] represent the amount of water James has left.

Which equation could be used to find the value of [tex]\( w \)[/tex]?

A. [tex]\( 3 \times 16 - 22 = w \)[/tex]

B. [tex]\( 3 + 16 - 22 = w \)[/tex]

C. [tex]\( 3 + 16 + 22 = w \)[/tex]

D. [tex]\( 3 \times 16 + 22 = w \)[/tex]

Answer :

Sure! Let's go through the problem step by step to find the correct equation that represents the amount of water James has left.

1. Understanding the problem:
- James bought 3 bottles of water.
- Each bottle contains 16 fluid ounces.
- James drank 22 fluid ounces of water.

2. Calculate the total amount of water James had initially:
- Since each bottle contains 16 fluid ounces, we need to determine the total amount of water in all three bottles.
- Multiply the number of bottles by the amount of water in each bottle: [tex]\( 3 \times 16 \)[/tex].
- This gives us: [tex]\( 3 \times 16 = 48 \)[/tex] fluid ounces.

3. Determine how much water James drank:
- James drank 22 fluid ounces.

4. Calculate the remaining amount of water:
- To find out how much water James has left, subtract the amount he drank from the total amount he initially had.
- Subtract: [tex]\( 48 - 22 \)[/tex].
- This calculation gives us: [tex]\( 48 - 22 = 26 \)[/tex] fluid ounces.

5. Formulating the equation:
- The equation that correctly represents the situation is: [tex]\( 3 \times 16 - 22 = w \)[/tex].

So, the correct equation to find the amount of water James has left is [tex]\( 3 \times 16 - 22 = w \)[/tex]. This means after drinking, James has 26 fluid ounces of water left.