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Bunuel
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The candies in a candy shop can be divided into unscented and scented 28 Nov 2022, 10:45
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C
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35% (medium)

Question Stats:

76% (02:53) correct 24% (02:30) wrong based on 74 sessions

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The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?

A. 250
B. 400
C. 500
D. 600
E. 750
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C
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The candies in a candy shop can be divided into unscented and scented 28 Nov 2022, 12:11
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The candies in a candy shop can be divided into unscented and scented 29 Nov 2022, 02:16
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Bunuel
The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?

A. 250
B. 400
C. 500
D. 600
E. 750
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Solution:

  • Total Blue = 1000
    • Blue Scented = 25% of 1000 = 250
    • Blue Un-Scented = 75% of 1000 = 750
  • Total Green = 1000
    • Green Scented = 250% of G = \(\frac{G}{2}\)
    • Green Un-Scented = 50% of G = \(\frac{G}{2}\)
Attachment:
scent.png
scent.png [ 6.73 KiB | Viewed 1790 times ]
  • We already know total Un-Scented = 1000
  • Or, \(750+\frac{G}{2}=1000\)
    \(⇒\frac{G}{2}=250\)
    \(⇒G=500\)
  • Total candies in the shop \(= 1000+G=1000+500=1500\)

  • Candies sold out = candies neither scented blue nor scented green = total uncented candles = 1000
  • So, number of candies left \(= 1500 - 1000 = 500\)\(\)

Hence the right answer is Option C
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Bunuel
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