MHB What was the volume of mango drink in each glass?

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Xinyi created a mango drink using 2 bottles of mango syrup and 9 liters of water. Each bottle contained n liters of syrup, and the drink was divided equally into 20 glasses. The volume of mango drink in each glass is calculated as (2n + 9)/20. When n is specified as 2 liters, the total volume of the drink becomes 13 liters. The importance of including units in calculations was emphasized in the discussion.
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Xinyi used 2 bottles of mango syrup and 9 litres of water to make a mango drink. There were n litres of mango syrup in each bottle and she then pouredthe mango drink equally into 20 glasses.

a) What was the volume of mango drink in each glass? Give your answer in terms of n.

my answer: (2n+9)/20b) There were 2 L of mango syrup in each bottle. How much mango drink did Xinyi make in all?

my answer: Since n is litters. 2 * 2 + 9 = 13
 
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Johnx said:
Xinyi used 2 bottles of mango syrup and 9 litres of water to make a mango drink. There were n litres of mango syrup in each bottle and she then pouredthe mango drink equally into 20 glasses.

a) What was the volume of mango drink in each glass? Give your answer in terms of n.

my answer: (2n+9)/20b) There were 2 L of mango syrup in each bottle. How much mango drink did Xinyi make in all?

my answer: Since n is litters. 2 * 2 + 9 = 13

Looks good! (Yes)
 
Johnx said:
Xinyi used 2 bottles of mango syrup and 9 litres of water to make a mango drink. There were n litres of mango syrup in each bottle and she then pouredthe mango drink equally into 20 glasses.

a) What was the volume of mango drink in each glass? Give your answer in terms of n.

my answer: (2n+9)/20b) There were 2 L of mango syrup in each bottle. How much mango drink did Xinyi make in all?

my answer: Since n is litters. 2 * 2 + 9 = 13
I would say, rather, "since n is 2 liters, 2*2+ 9= 13 liters." The unit is important.
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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