If Marcy chews 32 sticks of gum a month, how long will it take her to chew 2,400 sticks?

To determine how long it will take Marcy to chew 2,400 sticks of gum at a rate of 32 sticks per month, you perform a division of the total number of sticks by the number of sticks chewed each month.

When you divide 2,400 by 32, you calculate how many months it will take. The calculation is as follows:

2,400 ÷ 32 = 75.

This means that it will take Marcy 75 months to chew 2,400 sticks of gum at her current rate. This matches the answer option that is labeled as B, which indicates that this is the correct result of the calculation.

Understanding this problem involves recognizing the relationship between total quantity, rate, and time, which is a common concept in solving word problems involving proportions and rates in mathematics.