Final answer:
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?