3.15 Question Generator

3.15 Question Generator - Hasan, Jock and TJ Drinking Energy Drink
Hasan, Jock and TJ are drinking energy drink.

Hasan drink 5 cans of Monster energy drink, 10 cans of Demon energy drink and 7 cans of Angel energy drink. He drunk 6476 mL in total.
Jock drink 9 cans of Monster energy drink, 7 cans of Demon energy drink and 1 cans of Angel energy drink. He drunk 4076 mL in total.
TJ drink 9 cans of Monster energy drink, 3 cans of Demon energy drink and 3 cans of Angel energy drink. He drunk 3048 mL in total.

This information is summarised in the table below.

	Hasan	Jock	TJ
Monster	5	9	9
Demon	10	7	3
Angel	7	1	3
Total mL	6476	4076	3048

You are required to write a report using the information above.
Your report needs to answer the following questions:

How many mL are in each can of energy drink?
TJ wants to make it so that he has drinken the most mL. How many cans of Angel energy drink should he drink to make this happen?
Next time Hasan, Jock and TJ get together they drink different types of energy drink.
- Hasan drink 3 cans of Rockstar energy drink, 1 cans of Mother energy drink and 5 cans of V energy drink. He drunk 2472 mL in total.
- Jock drink 7 cans of Rockstar energy drink, 7 cans of Mother energy drink and 7 cans of V energy drink. He drunk 6622 mL in total.
- TJ drink 5 cans of Rockstar energy drink, 4 cans of Mother energy drink and 6 cans of V energy drink. He drunk 4547 mL in total.
Based on this information work out how many mL are in each can of energy drink.
A year later the boys were getting together, and the energy drink they liked had changed.
- Hasan drink 8 cans of NOS energy drink, 8 cans of Cola energy drink and 3 cans of Ink energy drink. He drunk 6047 mL in total.
- Jock drink 1 cans of NOS energy drink, 5 cans of Cola energy drink and 4 cans of Ink energy drink. He drunk 3897 mL in total.
- TJ drink 2 cans of NOS energy drink, 10 cans of Cola energy drink and 8 cans of Ink energy drink. He drunk 7794 mL in total.
If possible, work out how many mL are in each can of energy drink. Explain giving geometrical reasons for your answer.

As you write your report, take care to clearly communicate your findings, using appropriate mathematical statements. Include relevant equations and calculations.
The quality of your thinking and how well you link this to the context will determine the overall grade.

Answer:

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Part 1:
Must show equations solved to give:
   114 mL in a can Monster energy drink.
   396 mL in a can Demon energy drink.
   278 mL in a can Angel energy drink.

Part 2:
TJ should drink 16 cans of Angel energy drink to eat the maximum. He will drink 6662 mL in total.

Part 3:
Must show equations solved to give a possible solution, eg:
   433 mL in a can Rockstar energy drink.
   348 mL in a can Mother energy drink.
   165 mL in a can V energy drink.
Or to give a general solution.

Part 4:
Must show equations to find out that that the planes are parallel so there is no solution

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