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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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