Question

the Venn diagram, E = 100 farms P = farms that grow potatoes S = farms that grow sugar beet D farms grow only potatoes or only sugar beet. of these 80 farms grow only potatoes. The number of farms that grow potatoes is five times the number hat grow sugar beet. Complete the Venn diagram. ​

Answer 1

Step-by-step explanation:

Let's complete the Venn diagram step by step.

We know that E = 100, P = farms that grow potatoes, S = farms that grow sugar beet, and D = farms that grow only potatoes or only sugar beet.

We are given that 80 farms grow only potatoes, and the number of farms that grow potatoes is five times the number that grow sugar beet.

Let's denote the number of farms that grow only sugar beet as x. Since the number of farms that grow potatoes is five times the number that grow sugar beet, the number of farms that grow potatoes is 5x.

We also know that the total number of farms that grow potatoes is P, and the total number of farms that grow sugar beet is S.

So, we have:

P = 80 (farms that grow only potatoes) + 5x (farms that grow both potatoes and sugar beet).

S = x (farms that grow only sugar beet) + 5x (farms that grow both potatoes and sugar beet).

Given that the total number of farms is 100, we have:

P + S + D = 100.

From the information given, we can complete the Venn diagram using these calculations.