Question

A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males and 25% of all females are children. She writes the expression 0.25n + 61 to represent the number of children who enter the mall. Is the manager correct?
A.The manager is not correct because there are more than 61 males at the mall.

B.The manager is not correct because the number of children, 0.25(n + 244), is not equivalent to the manager's expression, 0.25n + 61.

C.The manager is correct because the total number of children at the mall is 183.

D.The manager is correct because the number of children, 0.25(n + 244), is equivalent to the manager's expression, 0.25n + 61.

Answer 1

Answer: Choice D

The manager is correct because the number of children, 0.25(n + 244), is equivalent to the manager's expression, 0.25n + 61.

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Explanation:

There are 244 men and n women giving 244+n total people, which is the same as n+244.

25% of this is 0.25(n+244)

Distribute that 0.25 through to each term inside the parenthesis

• 0.25 times n = 0.25n
• 0.25 times 244 = 61

There are 0.25n+61 children at this mall which is equivalent to 0.25(n+244)

In other words,

0.25(n+244) = 0.25n+61

is a true equation regardless of what value of n you pick. Both sides are identical.