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A grocer has 400 pounds of coffee in stock, 20 percent
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Updated on: 25 Jul 2014, 23:06
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Question Stats:
91% (00:53) correct 9% (01:22) wrong based on 532 sessions
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A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Re: A grocer has 400 pounds of coffee in stock, 20 percent
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25 Jul 2014, 22:54
1 , 20% of 400 mean 320 , Next 60% of 100 mean 40 … so on total 360 is the coffee Out of total 500 pounds of coffee. 500 is 100% , 360 pounds = ?%..... 3600/500 = 72% is Original it mean 28%is Decaffeinated. So A
2, Using multipliers… 20% mean 0.2 60% mean 0.6 …. So multiplying both the multipliers 0.12 ??
Can anyone solve this using multipliers as approach?
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Re: A grocer has 400 pounds of coffee in stock, 20 percent
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27 Jul 2014, 04:45
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1. 20% of 400=80 pounds of decaffeinated coffee 2. 60% of 100=60 pounds of decaffeinated coffee 3. Wt have 140 pounds of decaffeinated out of 500 pounds, that means 140/500*100%=28%. The correct answer is A.
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Re: A grocer has 400 pounds of coffee in stock, 20 percent
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27 Jul 2014, 04:47
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kanusha wrote:
1 , 20% of 400 mean 320 , Next 60% of 100 mean 40 … so on total 360 is the coffee Out of total 500 pounds of coffee. 500 is 100% , 360 pounds = ?%..... 3600/500 = 72% is Original it mean 28%is Decaffeinated. So A
2, Using multipliers… 20% mean 0.2 60% mean 0.6 …. So multiplying both the multipliers 0.12 ??
Can anyone solve this using multipliers as approach?
Kanusha, never mix percents if you take them from different numbers!
In this case decaffeinated coffee= 0.2*400+0.6*100=140. So, again 140/500*100%=28%.
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I'm happy, if I make math for you slightly clearer And yes, I like kudos:)
Re: A grocer has 400 pounds of coffee in stock, 20 percent
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20 Dec 2017, 12:28
kanusha wrote:
A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
A. 28% B. 30% C. 32% D. 34% E. 40%
Since the grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated, 0.2 x 400 = 80 pounds are decaffeinated.
Since the grocer buys another 100 pounds of coffee, 60 percent of which is decaffeinated, the grocer has 60 more pounds of decaffeinated coffee.
Thus, the percentage of decaffeinated coffee is (80 + 60)/(400 + 100) = 140/500 = 28/100 = 28%.
Answer: A
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