Question

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?

Answer 1

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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