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Using Proportion

Using Proportion

By using the Unitary Method, it becomes easier to compare different proportions. The Unitary Method involves finding out the quantity of one item.

This involves setting one part of the proportion to a value of 1.

Example 1

A company has two production lines making bread. The first production line produced 4 faulty loaves out of 2600 in the last shift. The second produced 5 faulty loaves out of 3400. Which production line produces more faulty bread?

First production line: 4 faults per 2600, 4 in 2600 is a proportion of 1 in 650

Second production line: 5 faults per 3400, 5 in 3400 is a proportion of 1 in 680

The first production line produces a faulty loaf more frequently than the second.

Answer: First production line

Example 2

In one year 1092 people were offered a flu vaccination and 42 people accepted. In the following year, following a publicity campaign, 2455 people were offered a vaccination, and 90 people accepted. Was there an increase in the proportion of people being vaccinated in the second year?

In the first year 42 people from 1092, or 42 in 1092 which is 1 in 26

Second year: 90 in 2455, which is 1 in 25.8

Answer: No, there was a decrease