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An Italian restaurant boasts 320 distinct pasta dishes. Each
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05 Aug 2018, 14:24
05 Aug 2018, 14:24
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96% (00:31) correct
3% (00:34) wrong based on 32 sessions
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An Italian restaurant boasts 320 distinct pasta dishes. Each dish contains exactly 1 pasta, 1 meat, and 1 sauce. If there are 8 pastas and 4 meats available, how many sauces are there to choose from?
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10
Re: An Italian restaurant boasts 320 distinct pasta dishes. Each
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07 Aug 2018, 06:06
07 Aug 2018, 06:06
Expert Reply
Explanation
This problem tests the fundamental counting principle, which states that the total number of choices is equal to the product of the independent choices. Let the number of sauces be represented by the variable S.
The total number of possible pasta dishes can be represented by each separate choice multiplied together: (8)(4)(S), or 32S. The problem also indicates that the total number of pasta
dishes must be equal to 320. Therefore, 32S = 320, so S = 10.
This problem tests the fundamental counting principle, which states that the total number of choices is equal to the product of the independent choices. Let the number of sauces be represented by the variable S.
The total number of possible pasta dishes can be represented by each separate choice multiplied together: (8)(4)(S), or 32S. The problem also indicates that the total number of pasta
dishes must be equal to 320. Therefore, 32S = 320, so S = 10.
Re: An Italian restaurant boasts 320 distinct pasta dishes. Each
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09 Dec 2024, 00:15
09 Dec 2024, 00:15
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