Question

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, the number of toys that 10 such machines produce in 5 minutes would be ___

Answer 1

Let the required number of toys produced by 7 machines in 5 mins be n.

As the time increases, number of toys increases. They are in direct proportion.

$\frac{Numberoftoys}{time}=\frac{490}{1minutes}=\frac{n}{5minutes}$

n = 490 x 5= 2450

So, 7 machines can make 2450 toys in 5 minutes.

As the number of machines increases, number of toys increases. They are in direct proportion.

$\frac{Numberofmachines}{numberoftoys}=\frac{7}{2450}=\frac{10}{k}$

(k is number of toys produced by 10 machines in 5 mins)

k= 3500

So, the number of toys produced = 3500