Question

Mrs. Bailer divides the amount of money she has between her 4 children. Mr. Bailer then adds $2 to the amounts each one receives so that each child now has a total of $5.25. Which equation shows this relationship?

A) 4x + 2 = 5.25
B) x/4 + 2 = 5.25
C) 4x = 5.25 + 2
D) 4(x + 2) = 5.25

Answer 1

The correct equation is x/4 + 2 = 5.25. It represents the amount Mrs. Bailer gave to each child, plus an additional $2 from Mr. Bailer, to equal $5.25 per child. Solving the equation shows Mrs. Bailer had $13 initially.

Step-by-step explanation:

The correct equation to show the relationship described in the question is option B) x/4 + 2 = 5.25. This equation indicates that the amount of money each child originally received (x divided by 4 since it is to be divided among 4 children), plus the additional $2 added by Mr. Bailer, equals $5.25, which is the final amount each child has.

To solve for x, we can subtract 2 from both sides:

x/4 = 5.25 - 2

x/4 = 3.25

Then, by multiplying both sides by 4, we find:

x = 3.25 * 4

x = $13

Therefore, Mrs. Bailer originally had $13 to divide between her 4 children.