Question

A machine prints 1500 newspapers in 45 minutes . How many will it print in 2 hours

Answer 1

This problem can be solved by using direct proportion formula.
$\frac{1500}{45} = \frac{x}{120}$
$1500 \times 120 = 45x$
$\frac{1500 \times 120}{45} = x$
$x = 4000$

Answer 2

The number of newspapers the machine prints in 2 hours = 4000

Given :

A machine prints 1500 newspapers in 45 minutes

To find :

The number of newspapers the machine prints in 2 hours

Solution :

Step 1 of 2 :

Form the equation

Let the number of newspapers the machine prints in 2 hours = x

2 hours = 120 minutes

By the given condition

1500 : 45 = x : 120

Step 2 of 2 :

Find the number of news papers

$\displaystyle \sf{ 1500 : 45 = x : 120}$

$\displaystyle \sf{ \implies \frac{1500}{45} = \frac{x}{120} }$

$\displaystyle \sf{ \implies x = 120 \times \frac{1500}{45} }$

$\displaystyle \sf{ \implies x = 120 \times \frac{100}{3} }$

$\displaystyle \sf{ \implies x = 40 \times 100}$

$\displaystyle \sf{ \implies x = 4000}$

Hence the number of newspapers the machine prints in 2 hours = 4000