Question

One store has 3 Managers and 12 Salespeople.Another store has 4 Managaers and 15 salespeople. Do both stores have equivalent ratios of managers to salespeople explain.

Answer 1

The ratio of mangers to sales people of the stores are not equivalent as the ratios in their simplest form are not equal.

Explanation:

Given:

One store has:

3 Managers and 12 sales persons

Another store has:

4 Managers and 15 sales persons.

To find if the ratio of mangers to sales people are equivalent.

Solution:

Store A:

Managers = 3

Sales people = 12

Ratio of mangers to sales people for store A =
`(3)/(12)` =
`(3/3)/(12/ 3)=(1)/(4)` (Simplest ratio)

Store B:

Managers = 4

Sales people = 15

Ratio of mangers to sales people for store B =
`(4)/(15)`

The ratio is in the simplest form and cannot be reduced further.

We can see that :
`(1)/(4)\\eq (4)/(15)`

Hence, the ratio of mangers to sales people of the stores are not equivalent.