3.15 Question Generator

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3.15 Question Generator - Anaru, Hasan and Tony Drinking Energy Drink
Anaru, Hasan and Tony are drinking energy drink.

Anaru drink 1 cans of Rockstar energy drink, 2 cans of V energy drink and 7 cans of Angel energy drink. He drunk 2617 mL in total.
Hasan drink 10 cans of Rockstar energy drink, 4 cans of V energy drink and 5 cans of Angel energy drink. He drunk 4635 mL in total.
Tony drink 3 cans of Rockstar energy drink, 1 cans of V energy drink and 9 cans of Angel energy drink. He drunk 3640 mL in total.

This information is summarised in the table below.

	Anaru	Hasan	Tony
Rockstar	1	10	3
V	2	4	1
Angel	7	5	9
Total mL	2617	4635	3640

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?
Anaru 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 Anaru, Hasan and Tony get together they drink different types of energy drink.
- Anaru drink 9 cans of Rasta Blasta energy drink, 7 cans of Cola energy drink and 1 cans of Mother energy drink. He drunk 4278 mL in total.
- Hasan drink 5 cans of Rasta Blasta energy drink, 3 cans of Cola energy drink and 9 cans of Mother energy drink. He drunk 5030 mL in total.
- Tony drink 7 cans of Rasta Blasta energy drink, 5 cans of Cola energy drink and 5 cans of Mother energy drink. He drunk 4654 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 8 cans of Ink energy drink, 5 cans of Red Bull energy drink and 9 cans of NOS energy drink. He drunk 7290 mL in total.
- Hasan drink 1 cans of Ink energy drink, 10 cans of Red Bull energy drink and 3 cans of NOS energy drink. He drunk 3450 mL in total.
- Tony drink 3 cans of Ink energy drink, 30 cans of Red Bull energy drink and 9 cans of NOS energy drink. He drunk 10350 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:
   266 mL in a can Rockstar energy drink.
   115 mL in a can V energy drink.
   303 mL in a can Angel energy drink.

Part 2:
Anaru should drink 14 cans of Angel energy drink to eat the maximum. He will drink 4738 mL in total.

Part 3:
Must show equations solved to give a possible solution, eg:
   217 mL in a can Rasta Blasta energy drink.
   283 mL in a can Cola energy drink.
   344 mL in a can Mother 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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