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16 Sep 2014, 00:25
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A candy manufacturer produces a range of candy types, consisting of 30% dark chocolate, 25% milk chocolate, 20% taffy, 5% caramel, and the remaining proportion of cream. Unfortunately, due to a hardware failure, the candy types got mixed up while wrapped. Before the factory detected the issue, they packed 80 boxes, each containing 20 individually wrapped candy pieces. What is the maximum number of candy pieces that a quality control inspector could unwrap and still not get a taffy candy?
A. 61
B. 320
C. 1279
D. 1280
E. 1281
A. 61
B. 320
C. 1279
D. 1280
E. 1281
16 Sep 2014, 00:25
Kudos
Bookmarks
Official Solution:
A candy manufacturer produces a range of candy types, consisting of 30% dark chocolate, 25% milk chocolate, 20% taffy, 5% caramel, and the remaining proportion of cream. Unfortunately, due to a hardware failure, the candy types got mixed up while wrapped. Before the factory detected the issue, they packed 80 boxes, each containing 20 individually wrapped candy pieces. What is the maximum number of candy pieces that a quality control inspector could unwrap and still not get a taffy candy?
A. 61
B. 320
C. 1279
D. 1280
E. 1281
Since each box contains 20 individually wrapped candy pieces, the total number of candy pieces is:
80 boxes * 20 candy pieces per box = 1600 candy pieces.
Next, we need to calculate the number of taffy candies in the mix. We know that taffy makes up 20% of the total candy types, so the number of taffy candies is:
20% * 1600 candy pieces = 320 taffy candies.
Therefore, the maximum number of candy pieces that a quality control inspector could unwrap and still not get a taffy candy is:
1600 candy pieces - 320 taffy candies = 1280 candy pieces.
Answer: D
A candy manufacturer produces a range of candy types, consisting of 30% dark chocolate, 25% milk chocolate, 20% taffy, 5% caramel, and the remaining proportion of cream. Unfortunately, due to a hardware failure, the candy types got mixed up while wrapped. Before the factory detected the issue, they packed 80 boxes, each containing 20 individually wrapped candy pieces. What is the maximum number of candy pieces that a quality control inspector could unwrap and still not get a taffy candy?
A. 61
B. 320
C. 1279
D. 1280
E. 1281
Since each box contains 20 individually wrapped candy pieces, the total number of candy pieces is:
80 boxes * 20 candy pieces per box = 1600 candy pieces.
Next, we need to calculate the number of taffy candies in the mix. We know that taffy makes up 20% of the total candy types, so the number of taffy candies is:
20% * 1600 candy pieces = 320 taffy candies.
Therefore, the maximum number of candy pieces that a quality control inspector could unwrap and still not get a taffy candy is:
1600 candy pieces - 320 taffy candies = 1280 candy pieces.
Answer: D
General Discussion
12 Mar 2023, 04:44
Kudos
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
