Answer

Verified

455.1k+ views

Hint: 8 pigs are purchased for every 1.5 acres of land. So find how many pigs are purchased per acre of land and use it to determine the number of pigs purchased for 6 acres of land.

Complete step-by-step answer:

It is given that the farmer in Kansas purchases 8 pigs for every 1.5 acres of land devoted for raising pigs.

We know that if ‘a’ pigs are purchased for every ‘b’ acres of land, then the number of pigs purchased per acre of land is \[\dfrac{a}{b}\].

Then, if 8 pigs are purchased for every 1.5 acres of land, then, to obtain the number of pigs purchased per acre of land, we just divide 8 by 1.5 to get as follows:

Number of pigs purchased per acre of land = \[\dfrac{8}{{1.5}}............(1)\]

Then, we need to find the number of pigs purchased for 6 acres of land.

We know that to find the number of pigs purchased for a particular acre of land, we need to multiply the number of acres of land with the number of pigs purchased per acre. Hence, from equation (1), we have:

Number of pigs purchased for 6 acres of land = \[6 \times \dfrac{8}{{1.5}}\]

Number of pigs purchased for 6 acres of land = \[4 \times 8\]

Number of pigs purchased for 6 acres of land = \[32\]

Hence, 32 pigs are purchased for 6 acres of land.

Note: We can also directly observe that 6 acres is 4 times 1.5 acres and hence, the number of pigs purchased will be 4 times that of eight. In this way also we get the same answer as 32 pigs.

Complete step-by-step answer:

It is given that the farmer in Kansas purchases 8 pigs for every 1.5 acres of land devoted for raising pigs.

We know that if ‘a’ pigs are purchased for every ‘b’ acres of land, then the number of pigs purchased per acre of land is \[\dfrac{a}{b}\].

Then, if 8 pigs are purchased for every 1.5 acres of land, then, to obtain the number of pigs purchased per acre of land, we just divide 8 by 1.5 to get as follows:

Number of pigs purchased per acre of land = \[\dfrac{8}{{1.5}}............(1)\]

Then, we need to find the number of pigs purchased for 6 acres of land.

We know that to find the number of pigs purchased for a particular acre of land, we need to multiply the number of acres of land with the number of pigs purchased per acre. Hence, from equation (1), we have:

Number of pigs purchased for 6 acres of land = \[6 \times \dfrac{8}{{1.5}}\]

Number of pigs purchased for 6 acres of land = \[4 \times 8\]

Number of pigs purchased for 6 acres of land = \[32\]

Hence, 32 pigs are purchased for 6 acres of land.

Note: We can also directly observe that 6 acres is 4 times 1.5 acres and hence, the number of pigs purchased will be 4 times that of eight. In this way also we get the same answer as 32 pigs.

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

In 1946 the Interim Government was formed under a Sardar class 11 sst CBSE

10 examples of law on inertia in our daily life

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE