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

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

Answer 2

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.