Question

in the Venn diagram 60 farms only grow potatoes or sugar beets 4/5 of these 60 farms grow potatoes the number of farms that grow potatoes are 3 times the number that grow sugar beets complete the Venn diagram

Answer 1

Answer:

The number of farms which grow potatoes is 48

The number of farms which grow sweet beets is 16  .

Step-by-step explanation:

Given as :

The Total number of farms available = 60 farms

The number of farms which grow potatoes = x = $\dfrac{4}{5}$ of farms available

The number of farms which grow potatoes = 3 times number of farms which grow sweet beets

So, The number of farms which grow potatoes = y = $\dfrac{\textrm number of farms grow potatoes}{3}$

Now, According to question

∵x = $\dfrac{4}{5}$ of farms available

So, x = $\dfrac{4}{5}$ × 60

Or, x = $\dfrac{4\times 60}{5}$

Or, x = 12 × 4

i.e x = 48

So ,The number of farms which grow potatoes = x = 48

Similarly

∵y = $\dfrac{\textrm number of farms grow potatoes}{3}$

So, y = $\dfrac{\textrm x}{3}$

Or, y =  $\dfrac{\textrm 48}{3}$

i.e y = 16

So ,The number of farms which grow sweet beets = y = 16

Hence,The number of farms which grow potatoes is 48

And The number of farms which grow sweet beets is 16  . Answer

Answer 2

Answer:

4/5 of the 60 farms grows potatoes.

the number of farms that grows potatoes is 3 times the number that grow sugar beats.

then, first obtain the value:

(4/5)*60 = 48 farms grow potatoes.

and we know that 48 is 3 times the number of farms that grow sugar beets, then:

3x = 48

x = 48/3 = 16

then we have 16 farms that grow sugar beets.