Respuesta :

Answer: 120 ml

Step-by-step explanation:

[tex]\frac{200(lassi)}{200 - 40(buttermilk)} = \frac{150(lassi)}{x(buttermilk)}[/tex]

[tex]\frac{200}{160} = \frac{150}{x}[/tex]

Cross multiply, then solve for the variable:

200(x) = 160(150)

x = [tex]\frac{160(150)}{200}[/tex]

x = 120

There are 120 ml of buttermilk in 150 ml of lassi, where the ratio of buttermilk to lassi is 4:5.

What is a ratio?

A ratio is the simplest relation shown between two quantities, in the way x:y, read as "x is to y", and functions as x/y.

How to solve the question?

In the question, we are informed that a 200 ml lassi contains 40 ml of rose syrup and the rest of buttermilk.

We are asked how much buttermilk will be there in 150 ml lassi.

We first find the quantity of buttermilk in the 200 ml lassi = 200 - 40 = 160 ml {40 ml is rose syrup, and the rest is buttermilk, so subtracting 40 from the whole of 200}.

Now, the ratio of buttermilk to lassi = 160:200 = 4:5 {Quantity of buttermilk: Quantity of lassi}.

This ratio will be constant for different packs of lassi.

For the 150 ml pack, we can say equate the ratio,

Quantity of buttermilk: Quantity of lassi = 4:5

or, Quantity of buttermilk/150 = 4/5

or,  Quantity of buttermilk = 4/5 * 150 = 120.

Therefore, there are 120 ml of buttermilk in 150 ml of lassi, where the ratio of buttermilk to lassi is 4:5.

Learn more about ratios at

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