2003 AMC 10B Problems/Problem 16
Problem
A restaurant offers three deserts, and exactly twice as many appetizers as main courses. A dinner consists of an appetizer, a main course, and a dessert. What is the least number of main courses that a restaurant should offer so that a customer could have a different dinner each night in the year ?
Solution
Let be the number main courses the restaurant serves, and be the number of appetizers. Then the number of combinations a dinner can have is $2m^2\timesm\times3=6m^2.$ (Error compiling LaTeX. Unknown error_msg) Since the customer wants to eat a different dinner in all days of
The smallest integer value that satisfies this is .
See Also
2003 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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All AMC 10 Problems and Solutions |