Question

A small bottle of Gatorade holds 75% as much as the large bottle of Gatorade. If the small bottle holds 36 units, how many units does the large bottle hold?

Option 1: 48
Option 2: 42
Option 3: 54
Option 4: 50

Answer 1

To find the capacity of the large Gatorade bottle when the small bottle holds 75% of its content, we set up the proportion 75/100 = 36/x and solved for x to find that the large bottle holds 48 units.

Step-by-step explanation:

The student has asked how many units does the large bottle of Gatorade hold if the small bottle holds 36 units and is 75% the size of the large bottle. To solve this problem, we need to determine what 100% would be if 75% is 36 units.

We set up a proportion where 75% corresponds to 36 units, so we have 75/100 = 36/x, where x is the number of units the large bottle holds. We can solve for x by cross-multiplying, which gives us 75x = 3600. Dividing both sides by 75 yields x = 48. Therefore, the large bottle of Gatorade holds 48 units.

Using unit equivalence, we can understand the importance of using the correct measurements, as seen in various real-life examples such as barrels of water needed for a hike, the volume of barbecue sauce in fluid ounces, or the capacity of containers measured in milliliters, centiliters, and liters.