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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 the number 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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