lheiannie07 wrote:A machine at the golf ball factory can produce 16 golf balls in 5 minutes. If several of these machines work independently and each machine performs at the same rate, how many machines are needed to produce 32 golf balls per minute?
A) 3
B) 6
C) 8
D) 10
E) 13
Use the following equation:
(machines)(time) / output = (machines)(time) / output
In the equation above:
Machines and time are INVERSELY PROPORTIONAL.
As the number of machines
increases, the amount of time required to produce the same output
decreases.
Machines and output are DIRECTLY PROPORTIONAL.
As the number of machines
increases, the amount of output also
increases.
Time and output are also DIRECTLY PROPORTIONAL.
As the amount of time
increases, the amount of output also
increases.
In the problem above:
1 machine takes 5 minutes to produce 16 golf balls, and we are asked how many machines are needed to produce in 1 minute 32 golf balls.
Thus, we get the following equation:
(1 machine)(5 minutes)/(16 golf balls) = (x machines)(1 minute)/(32 golf balls)
5/16 = x/32
x = (5)(32/16) = 5*2 = 10.
The correct answer is
D.
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