Question

The ratio of wine to water in a mixture is 12:5. If there are 144 cm³ of wine in the mixture, find the amount of water in the mixture ​

Answer 1

Answer:

The amount of water is 0.06 litres.

Step-by-step explanation:

Question says that,

Ratio amount of

→ Water : Wine

→ 12 : 5

The amount of wine is given as 144cm³.Find the amount of water.

Step 1 : Let's assume the amount of :

➪ Wine = $12x$

➪ Water = $5x$

Step 2 : Find the value of $\boldsymbol x$ :

Here, the amount of wine is given in the units of cm³ so, we need to convert it into litres.

∵ 1cm³ = 0.001 litres

∴ 144cm³ = 144 × 0.001 litres = 0.144 litres.

Given :

$\implies 12x = 0.144$

$\bf Solving \: for {\boldsymbol {\: x}}$ :

$\implies 12x = 0.144$

$\implies x = \dfrac{0.144}{12}$

$\implies x = \dfrac{144}{1000 \times 12}$

$\implies x = \dfrac{12}{1000}$

${\boldsymbol {\therefore {x = 0.012}}}$

Step 3 : Calculate the amount of water :

The amount of water is $5x$

Or,

$\to 5(0.012) = \bf 0.06 \sf \: litres$${\boxed{\green{\checkmark{}}}}$

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Note behind :

Here, we've converted the volume amount i.e., cm³ into $l$ (litres) just because the wine cannot be calculated in volume.

How to convert cm³ into litres :

Divide the volume by 1000

As we've done above

For an example :

If we want to convert 3000cm³ into litres we'll simply divide it by 1000

→ 3000 ÷ 1000

→ 3 litres

Hence, we got 3000cm³ = 3 litres ${\boxed{\green{\checkmark{}}}}$

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