Question

A batting machine uses an automatic baseball feeder. During baseball practice the feeder is a full. An attendant fills it with 15 baseballs so that the feeder is now full. How many baseballs does the feeder hold when full?

Answer 1

To determine the total capacity of the baseball feeder, we set up an equation based on the information given and find that the feeder holds a total of 30 baseballs when full.

Step-by-step explanation:

To solve for the total capacity of the baseball feeder, we'll set up a proportion based on the fact that adding 15 baseballs increased the level from 1/6 to 2/3 full.

Let the total capacity of the feeder be x baseballs. When the feeder is 1/6 full, it contains x/6 baseballs. After adding 15 baseballs, the feeder is 2/3 full, which means it contains 2x/3 baseballs.

The difference between 2/3 and 1/6 of the capacity is the 15 baseballs added:

2x/3 - x/6 = 15

To solve this equation, find a common denominator and subtract:

4x/6 - x/6 = 15

3x/6 = 15

x/2 = 15

x = 15 * 2

x = 30

Therefore, the feeder holds a total of 30 baseballs when full.

Complete question:

A batting machine uses an automatic baseball feeder. During baseball practice the feeder is 1/6 full. An attendant fills it with 15 baseballs so that the feeder is now 2/3 full. How many baseballs does the feeder hold when full?