# 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?

Jun 30, 2016

See explanation

#### Explanation:

$\textcolor{b l u e}{\text{Assumption}}$
The comma is meant to be a decimal point.

$\textcolor{b r o w n}{\text{947,6L is meant to be } 947.6 L}$
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$\textcolor{b l u e}{\text{Answering your question}}$

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

1 drink has $\frac{4}{4 + 9}$ of the whole that is syrup.
1 drink has $\frac{9}{4 + 9}$ of the whole that is water.

Let the total unknown amount of drink be $x$

Then the amount of syrup is such that

$\frac{4}{4 + 9} x = 967.6 \text{ "->" } \frac{4}{13} x = 967.6$

Multiply both sides by $\frac{13}{4}$

$\frac{4}{13} \times \frac{13}{4} \times x = 967.6 \times \frac{13}{4}$

$\frac{4}{4} \times \frac{13}{13} \times x = 3144.7$

$\textcolor{b l u e}{\text{So the total potential drink that can be made is "3144.7" litres}}$
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