Question

the attendance of your club increased by 30% from last year. there are 195 people in the club now. a. write a proportion to find the amount of people in the club last year. b. solve the proportion in part (a).

Answer 1

A.

`(x)/(195)=(100)/(130)`

B. 150

Explanation:

Let x be the number of people at the club last year.

The attendance of your club increased by 30% from last year. This means that if the last year attendance was 100%, this year attandance is 100% + 30% = 130%

Thus,

x people - 100%

195 people - 130%

A. Write a proportion:

`(x)/(195)=(100)/(130)`

B. Cross multiply:

`130\cdot x=100\cdot 195\\ \\130x=19,500\\ \\13x=1,950\\ \\x=(1,950)/(13)=150`