3.15 Question Generator

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3.15 Question Generator - Anaru, Adam and Jin Myung Drinking Energy Drink
Anaru, Adam and Jin Myung are drinking energy drink.

Anaru drink 5 cans of Mother energy drink, 6 cans of Rockstar energy drink and 9 cans of Ink energy drink. He drunk 4886 mL in total.
Adam drink 3 cans of Mother energy drink, 3 cans of Rockstar energy drink and 6 cans of Ink energy drink. He drunk 2742 mL in total.
Jin Myung drink 5 cans of Mother energy drink, 1 cans of Rockstar energy drink and 7 cans of Ink energy drink. He drunk 2333 mL in total.

This information is summarised in the table below.

	Anaru	Adam	Jin Myung
Mother	5	3	5
Rockstar	6	3	1
Ink	9	6	7
Total mL	4886	2742	2333

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?
Jin Myung wants to make it so that he has drinken the most mL. How many cans of Ink energy drink should he drink to make this happen?
Next time Anaru, Adam and Jin Myung get together they drink different types of energy drink.
- Anaru drink 9 cans of V energy drink, 3 cans of NOS energy drink and 5 cans of Rasta Blasta energy drink. He drunk 5777 mL in total.
- Adam drink 1 cans of V energy drink, 1 cans of NOS energy drink and 1 cans of Rasta Blasta energy drink. He drunk 937 mL in total.
- Jin Myung drink 5 cans of V energy drink, 2 cans of NOS energy drink and 3 cans of Rasta Blasta energy drink. He drunk 3357 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.
- Anaru drink 10 cans of Angel energy drink, 8 cans of Monster energy drink and 9 cans of Lift Plus energy drink. He drunk 6109 mL in total.
- Adam drink 6 cans of Angel energy drink, 1 cans of Monster energy drink and 7 cans of Lift Plus energy drink. He drunk 3577 mL in total.
- Jin Myung drink 10 cans of Angel energy drink, 8 cans of Monster energy drink and 9 cans of Lift Plus energy drink. He drunk 6109 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:
   181 mL in a can Mother energy drink.
   455 mL in a can Rockstar energy drink.
   139 mL in a can Ink energy drink.

Part 2:
Jin Myung should drink 26 cans of Ink energy drink to eat the maximum. He will drink 4974 mL in total.

Part 3:
Must show equations solved to give a possible solution, eg:
   391 mL in a can V energy drink.
   236 mL in a can NOS energy drink.
   310 mL in a can Rasta Blasta 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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