Question

It takes 24 people 4 hours to build a stage. how long will it take 18 people to build a stage

Answer 1

Create a proportion.

$\frac{24~people}{4~hours} =\frac{18~people}{x~hours}$

Cross multiply. (24 * x) = (4 * 18)

24x = 72

Divide both sides by 24.

x = 3

It will take 18 people $\boxed {3~hours}$ to build a stage.

Answer 2

For this problem we must set up some fractions in an equality. First, we put number of people in the numerator and number of hours in the denominator. After this we can plug in 24 to the numerator of the first fraction and 4 to the denominator of the first fraction (24/4). We then set the two fractions equal to each other and put 18 in the numerator of the second fraction and the variable X and the denominator of the second fraction (18/x). Lastly we cross multiply and then divide leaving X alone. This will be our answer. Therefore the answer is 3 hours.