Question

A soap factory makes 600 units in 9 days with the help of 20 machines.
How many units can be made in 12 days with the help of 18 machines?​

Answer 1

Answer:

720 soap can be made please market brainliest answer

Answer 2

720 units can be manufactured using 18 machines for 12 days.

Step-by-step explanation:

Given:

The number of units increases with the number of machines. On the other hand as the number of machines increases, the number of days required decreases. Thus the number of machines is directly proportional to the number of units and inversely proportional to the number of days.

The first information gives,

$20 = k \times 600 \times \frac{1}{9}$

This gives the constant of proportionality

$k =\frac{20\times 9}{600}$      [1]

Let x be the number of units which can be manufactured using 18 machines in 12 days. Using the same reasoning, we get

$18 = k\times x\times \frac{1}{12}$

$x=\frac{18\times 12}{k}$

$x=\frac{18\times 12\times 600}{20\times 9}$     [from Eq (1)]

x = 720

Hence 720 units can be manufactured using 18 machines for 12 days.