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?

1 Answer
Jun 30, 2016

See explanation

Explanation:

#color(blue)("Assumption")#
The comma is meant to be a decimal point.

#color(brown)("947,6L is meant to be "947.6L)#
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#color(blue)("Answering your question")#

You have 4 parts syrup + 9 parts water to make a whole drink.

1 drink has #4/(4+9)# of the whole that is syrup.
1 drink has #9/(4+9)# of the whole that is water.

Let the total unknown amount of drink be #x#

Then the amount of syrup is such that

#4/(4+9)x=967.6" "->" "4/13x=967.6#

Multiply both sides by #13/4#

#4/13xx13/4xx x=967.6xx13/4#

#4/4xx13/13xx x= 3144.7#

#color(blue)("So the total potential drink that can be made is "3144.7" litres")#
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