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

Respuesta :

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 = [tex]\dfrac{4}{5}[/tex] 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 = [tex]\dfrac{\textrm number of farms grow potatoes}{3}[/tex]

Now, According to question

∵x = [tex]\dfrac{4}{5}[/tex] of farms available

So, x = [tex]\dfrac{4}{5}[/tex] × 60

Or, x = [tex]\dfrac{4\times 60}{5}[/tex]

Or, x = 12 × 4

i.e x = 48

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

Similarly

y = [tex]\dfrac{\textrm number of farms grow potatoes}{3}[/tex]

So, y = [tex]\dfrac{\textrm x}{3}[/tex]

Or, y =  [tex]\dfrac{\textrm 48}{3}[/tex]

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:

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.