Photo AI
Question 1
A restaurant is offering a three-course meal consisting of one starter, one main course and one dessert. There are 4 different starters, 6 different main courses and... show full transcript
Step 1
Answer
To find the total number of three-course meal combinations, we multiply the number of options available for each course:
Number of starters = 4
Number of main courses = 6
Number of desserts = 8
The total number of combinations is given by:
Thus, the total number of different three-course meal combinations available is 192.
Step 2
Answer
From the information provided, Jack has 120 different three-course meal combinations available.
The number of available meal options can be modeled by the equation:
where x is the number of available desserts.
To find x, we can first simplify the left-hand side:
Now, dividing both sides by 24 gives:
Therefore, the number of different desserts still available to Jack is 5.
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