Maths-

General

Easy

Question

# 8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: Hence, the small feed will last for 1 1/3 to feed 6 cows.

### Let the number of bags of cattle be represented as x, the number of cows be represented as y and the number of months be represented as z. Now, more cows will mean more bags of cattle are required so x and y will have a directly proportional relationship i.e

y x

Now if there are more cows this means the bags of cattle will last for fewer months which means x and z have an inversely proportional relationship i.e

y

So, we can say that

y

y = …….(1)

Where k is a proportionality constant

Step 1 of 2:

It is given that 8 bags of cattle feed are needed to feed 4 cows for 2 months. So, x = 8, y = 4 and z = 2. Putting the values in equation (1)

4 =

k = = 1

Step 2 of 2:

Now we are asked to find the number of months the same feed will last to feed 6 cows. So, x = 8, y = 6 and we need to find z. Putting the values in equation (1)

6 =

Now, put the value of k = 1

z =

d = = months

Final Answer:

Hence, the small feed will last for to feed 6 cows.

### Related Questions to study

Maths-

### A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?

### A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?

Maths-General

Maths-

### A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?

### A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?

Maths-General

Maths-

### A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?

### A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?

Maths-General

Maths-

### A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?

### A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?

Maths-General

Maths-

### A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?

### A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?

Maths-General

Maths-

### A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?

### A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?

Maths-General

Maths-

### If find the values of

### If find the values of

Maths-General

Maths-

### Approximate the following irrational numbers to the nearest whole number.

### Approximate the following irrational numbers to the nearest whole number.

Maths-General

Maths-

### Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?

### Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?

Maths-General

Maths-

### A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete it in 4 days?

### A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete it in 4 days?

Maths-General

Maths-

### A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel?

### A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel?

Maths-General

Maths-

### Approximate the following irrational numbers to the nearest whole number.

### Approximate the following irrational numbers to the nearest whole number.

Maths-General

Maths-

### Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow in 4 hours. How long will Sohan take to mow the lawn if he works alone?

### Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow in 4 hours. How long will Sohan take to mow the lawn if he works alone?

Maths-General

Maths-

### Approximate the following irrational numbers to the nearest whole number.

### Approximate the following irrational numbers to the nearest whole number.

Maths-General

Maths-

### A car needs 33 litres of petrol to cover a distance of 363 km. Petrol costs · 78 per litre. How much would one spend on a journey of 407 km by car?

### A car needs 33 litres of petrol to cover a distance of 363 km. Petrol costs · 78 per litre. How much would one spend on a journey of 407 km by car?

Maths-General