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Operating at the same constant rate, 4 identical machines can produce

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Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 17 Oct 2017, 23:33
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Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000

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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 18 Oct 2017, 02:22
1machine =55 candle/min
10 machine= 55*10candles=550 candles/min
10 machines in 5 minutes= 550*5=2750 candles


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Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 18 Oct 2017, 11:40
Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000

(# of machines) * r * t = W

4 * r * 1 = 220

r of each machine: \(\frac{220}{(4*1)} = \frac{55}{1}\)

How many candles could 10 such machines produced in 5 minutes?

(# of machines) * r * t = W

10 * \(\frac{55}{1}\) * 5 = 2750 candles

Answer C
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 19 Oct 2017, 00:03
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Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000


If 4 identical machine produce a total of 220 candles per minute,
they would produce 1100 candles in 5 minutes.

Since we have been asked to find how many candles 10 such machines make,
we could get that by multiplying the candles by a factor of 2.5(because 4*2.5 = 10)

Therefore, 10 such machines produce 1100*2.5 = 2750 candles(Option C)
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 19 Oct 2017, 01:43
1
4 machines in 1 minute = 220
so 1 machine in 1 minute = 220/4 = 55
so 10 machines in 1 minute = 55*10 = 550
so 10 machines in 5 minutes = 550*5 = 2750

Hence C answer
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 23 Oct 2017, 17:50
I got C, first I figured out how many candles a machine makes per minute. 220/4 = 55.
-Next I plug that into the equation 55 per minute * 5 minutes * 10 machines = 2,750.
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 24 Oct 2017, 06:06
Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000


We can determine the rate of 10 machines with the following proportion:

4/220 = 10/x

4x = 2200

x = 550

We know that 10 machines can produce 550 candles in one minute. Thus, in 5 minutes, 10 machines can produce 550 x 5 = 2750 candles.

Answer: C
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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New post 25 Apr 2018, 18:03
Top Contributor
Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000


Given: 4 machines produce 220 candles per ONE minute
So, 1 machine produces 55 candles per ONE minute
Therefore, 10 machines produce 550 candles per ONE minute
And 10 machines produce 2750 candles per FIVE minute

Answer: C

Cheers.
Brent
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Re: Operating at the same constant rate, 4 identical machines can produce   [#permalink] 25 Apr 2018, 18:03
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