Question

At a school recess, there needs to be a ratio of 2 adults for every 24 children on the playground. The double number line represents the number of adults and children on the playground at recess.

a. Label each remaining tick mark with its value.
b. How many adults are needed if there are 72 children?

Answer 1

To determine the number of adults needed for 72 children, we use the given ratio of 2 adults per 24 children. By setting up a proportion and solving for the number of adults, we conclude that 6 adults are necessary to maintain the provided ratio.

Step-by-step explanation:

The student's question requires us to apply the concept of ratios to determine the required number of adults needed if there are 72 children on the playground. The given ratio is 2 adults for every 24 children. One way to solve this is by setting up a proportion where we compare the number of adults (A) to the number of children (C).

The proportion is as follows: 2 adults / 24 children = A adults / 72 children. To solve for A, we cross-multiply and get 2 * 72 = 24 * A. Therefore, A = (2 * 72) / 24. After calculating, we find A = 6. Hence, if there are 72 children on the playground, 6 adults are needed to maintain the ratio.