Question

If the ratio of milk to water is 7:4 in a 44-liter mixture, how much milk : water should be added so that ratio will be 19:13?

Answer 1

please see the attachment

Answer 2

10 liter milk and water is added.

Step-by-step explanation:

It is given that ratio of milk to water is 7:4 in a 44-liter mixture.

Let 7x is milk and 4x is water.

$7x+4x=44$

$11x=44$

Divide both sides by 11.

$x=4$

$Milk=7x=7(4)=28$

$water=4x=4(4)=16$

Let y liter milk and water is added.

$\dfrac{Milk}{Water}=\dfrac{28+x}{16+x}$

New ratio is 19:13.

$\dfrac{19}{13}=\dfrac{28+x}{16+x}$

On cross multiplication we get

$19(16+x)=13(28+x)$

$304+19x=364+13x$

$19x-13x=364-304$

$6x=60$

$x=10$

Therefore, 10 liter milk and water is added.

#Learn more

In a mixture of 40 liters, the ratio of milk and water is 4:1. How much water much be added to this mixture so that the ratio of milk and water becomes 2:3

1) 32 liters

2) 20 liters

3) 30 liters

4) 40 liters

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