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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?
Options:
A .  2,700
B .  3,500
C .  4,200
D .  4,500
Answer: Option B
:
B
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.
Working At The Same Constant Rate, 7 Identical Machines Can ...
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 thenumber of toys produced by 10 machines in 5 minutes.
Working At The Same Constant Rate, 7 Identical Machines Can ...
Then, k = 2450×107
k = 3500
So, the number of toys produced = 3,500

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