Question

Nevaeh volunteers on the weekend at the Central Library. As a schoolproject, she decides to record how many people visit the library, andwhere they go. On Saturday, 356 people went to The Youth Wing, 393people went to Social Issues, and 434 went to Fiction and Literature.On Sunday, the library had 700 total visitors. Based on what Nevaehhad recorded on Saturday, about how many people should be expectedto go to Social Issues? Round your answer to the nearest wholenumber

Answer 1

Proportions

This problem will be solved by using proportions.

Two quantities are said to be in proportion if their ratio or division is constant.

For example, 4 and 2 are in proportion 4/2 = 2. If something else has the same proportion, then the ratio should be 2 also. 10 and 5 are in the same proportion, but not 12 and 8.

Nevaeh recorded some events on Saturday and found that:

356 people went to The Youth Wing

393 people went to Social Issues and

434 people went to Fiction and Literature

We can use that information to find the proportion of each place where people went.

The total people that visited the library on Saturday were:

356 + 393 + 434 = 1183

The proportion of people who went to Social Issues is:

393 / 1183 = 0.3322

If we apply the same proportion to the 700 visitors the library had on Sunday, then: 700 * 0.3322 = 233 visitors went to Social Issues (approximately)