Question

In a month, 60 machines working together can print 500 posters. A job of printing 4,200 posters was assigned. How many machines should be utilized to complete the work in a month?

Answer 1

Given, to print 500 posters in a month, 60 machines are required.

We know that the more is the number of posters to be printed in the same time, the more is the number of machines required.

$\text{So, Number of posters}\left(x\right)\propto \text{Number of machines(y)}$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=500posters$
$y_1=60machines$
$x_2=4200posters$
$\text{and}{y}_2=\text{number of machines}\text{required to print 4200 posters}$
$\Rightarrow \frac{500}{60}=\frac{4200}{y_2}$
$\Rightarrow y_2=\frac{4200\times 60}{500}=504machines$

Hence, 504 machines are required.