# Milk mixture

In a container, milk and water are 7:5. If 15 L water is added, the ratio becomes 7:8. Find the quantity of water in the new mixture.

## Correct answer:

**Showing 1 comment:**

**Student**

Initially, the ratio of milk to water is 7:5. This means that for every 7 parts of milk, there are 5 parts of water. Let's say the initial amount of milk is 7x and the initial amount of water is 5x.

Since 15 L of water is added, the new amount of water becomes 5x + 15.

The ratio of milk to water becomes 7:8, which means that for every 7 parts of milk, there are 8 parts of water (milk + water). We can set up an equation based on this:

(7x) / (5x + 15) = 7/8

To simplify this equation, we can cross-multiply:

7(5x + 15) = 8x

Expanding the left side, we get:

35x + 105 = 8x

Subtracting 8x from both sides gives us:

27x = -105

Dividing both sides by -27 gives us:

x = 105/27

So, the initial amount of water is 5x = 5(105/27) = 25 L.

The new amount of water is 5x + 15 = 25 + 15 = 40 L.

Therefore, the quantity of water in the new mixture is 40 L

Since 15 L of water is added, the new amount of water becomes 5x + 15.

The ratio of milk to water becomes 7:8, which means that for every 7 parts of milk, there are 8 parts of water (milk + water). We can set up an equation based on this:

(7x) / (5x + 15) = 7/8

To simplify this equation, we can cross-multiply:

7(5x + 15) = 8x

Expanding the left side, we get:

35x + 105 = 8x

Subtracting 8x from both sides gives us:

27x = -105

Dividing both sides by -27 gives us:

x = 105/27

So, the initial amount of water is 5x = 5(105/27) = 25 L.

The new amount of water is 5x + 15 = 25 + 15 = 40 L.

Therefore, the quantity of water in the new mixture is 40 L

Tips for related online calculators

Check out our ratio calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Tip: Our volume units converter will help you convert volume units.

### You need to know the following knowledge to solve this word math problem:

### Units of physical quantities:

#### Themes, topics:

### Grade of the word problem:

## Related math problems and questions:

- Numbers at ratio 2

Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers. - Numerators and denominators

A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction. - Adjust numerators

If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 5/8. If the numerator and the denominator of the same fraction are each increased by 1, the fraction becomes 1/2. Find the fraction. - Two syrups

There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same?

- Two containers 2

Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on - Container 81972

There are 45 liters of water in a 50-liter container. How many liters of water will it contain if we add another 10 liters of water to it? - Two numbers 13

Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers.