Question

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, how many toys could 10 such machines produce in 5 minutes?

• A. 2,700
• B. 3,500
• C. 4,200
• D. 4,500

Answer 1

The correct option is B

3,500

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

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

n = 490 x 5= 2450

So, 7 machines can make 2,450 toys in 5 minutes.

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

Let k is the number of toys produced by 10 machines in 5 minutes.

Then, k = $\frac{2450\times 10}{7}$

$⟹$ k = 3500

So, the number of toys produced = 3,500