Question

You are planning to open a day care. Regulations mandate 35 sq. ft of space per child. How much floor space will you need for 15 children? Will a space 22 ft. by 24 ft. meet the requirement?

How many square feet will be required for 15 children?

___ 425 sq. ft.

__ 525 sq. ft.

A space 22 ft. by 24 ft. is sufficient.

__ true

__ false

Answer 1

1) 525 sq. ft.

2) True

Explanation:

Since regulations mandate to open a day care is 35 sq. ft of space per child.

So space needed for 15 children = number of students × space required for one child = 15 × 35 = 525 sq. ft.

So option 2 is correct.

To evaluate whether space of 22×24 ft is sufficient we will divide the total space by number of students. If the result matches with regulations mandate then space is sufficient.

Space for one student from the given space = (22×24)/15 = 35.2 sq. feet

This space is bigger than the mandate of minimum space of 35 sq. ft.

Therefore statement is true.

Answer 2

How many square feet will be required for 15 children?

`15* 35=525`

Will a space 22 ft. by 24 ft. meet the requirement?

`22* 24=528\ \textgreater \ 15* 35=525`
Yes