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A restaurant is offering a three-course meal consisting of one starter, one main course and one dessert - Leaving Cert Mathematics - Question 1 - 2020

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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

Worked Solution & Example Answer:A restaurant is offering a three-course meal consisting of one starter, one main course and one dessert - Leaving Cert Mathematics - Question 1 - 2020

Step 1

How many different three-course meal combinations are available?

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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:

4imes6imes8=1924 imes 6 imes 8 = 192

Thus, the total number of different three-course meal combinations available is 192.

Step 2

How many different desserts are still available to Jack?

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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:

4imes6imesx=1204 imes 6 imes x = 120

where x is the number of available desserts.

To find x, we can first simplify the left-hand side:

24x=12024x = 120

Now, dividing both sides by 24 gives:

x=12024=5x = \frac{120}{24} = 5

Therefore, the number of different desserts still available to Jack is 5.

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