Math Problem Statement
Solution
Let's analyze the problem.
The restaurant offers:
- 10 entrée choices
- 5 side dishes
- An unknown number of desserts, which we’ll call
The total number of possible meal options can be calculated as: We are given that the total number of meal options is 200. Therefore, we have: Now, solving for :
So, there are 4 dessert choices available.
Would you like more details or have any further questions?
Here are 5 related questions to expand your understanding:
- What happens to the total meal options if the number of side dishes is doubled?
- How many total meal combinations would there be if the restaurant added 2 more dessert choices?
- If there were 12 entrée choices, how would that affect the number of desserts needed for 300 possible meal combinations?
- How would you calculate the number of possible meal options if two side dishes could be selected instead of one?
- What would be the total options if the number of entrée choices was reduced to 8?
Tip: Multiplication is a quick way to find the total number of combinations when choices are independent, like entrées, side dishes, and desserts in this scenario.
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Math Problem Analysis
Mathematical Concepts
Multiplication of Combinations
Algebra
Formulas
Total meal options = (number of entrée choices) × (number of side dishes) × (number of desserts)
10 × 5 × d = 200
Theorems
-
Suitable Grade Level
Grades 6-8
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