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

  • Thread starter Thread starter Johnx1
  • Start date Start date
  • Tags Tags
    Glass Volume
AI Thread Summary
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.
Johnx1
Messages
48
Reaction score
0
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
 
Mathematics news on Phys.org
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Back
Top