A drink is made by mixing 4 parts of syrup with 9 parts of water. If we have 947,6L of syrup, what much litres of this drink can we make?

2 Answers
Tony B
Mar 19, 2016

Based on there being 9476 litres of syrup, the total amount of mixed drink is 21321 litres

Explanation:

#color(blue)("Assumption: In the question it states; 947,6L. Assuming the comma")# #color(blue)("is not meant to be there giving 9476L")#

The key is realising that 4 parts and 9 parts makes a total of 13 parts.

So the amount of syrup is #4/9# of the whole

Let the total volume of mixed drink be #x#

then #4/9x=9476" " #Litres

Multiply both sides by 9 giving

#9/9xx4xxx" "=" "9xx9476#

#4x=85284#

Divide both sides by 4

#4/4x=85284/4#

#x=21321# Litres of drink mix

Gió
Mar 19, 2016

I found : #3079.7# liters

Explanation:

We can imagine that we can use #4/13~~0.307# liters of syrup and #9/13~~0.692# liters of water to make #1# liter of mixture:
(#4/13+9/13=1#)

If we have #947.6# liters of syrup we can make:
#947.6/(4/13)=3079.7# liters of the drink.

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