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

To complete the Venn diagram, calculate that 48 out of 60 farms grow potatoes and the remaining 16 grow sugar beets, since the potato farms number is three times the sugar beet farms.

Step-by-step explanation:

The question asks us to complete a Venn diagram with information about how many farms grow potatoes vs sugar beets, given that 60 farms grow one or the other, not both. 4/5 of the 60 farms grow potatoes, which is 48 farms.

Since the number of farms that grow potatoes is three times the number that grow sugar beets,

we can determine the number of sugar beet farms by dividing the number of potato farms by 3, giving us 16 farms growing sugar beets.

Here's the step-by-step solution:

1. Calculate the number of farms that grow potatoes: 4/5 of 60 = 48.
2. Since the potato farms are three times the sugar beet farms, divide the potato farms by 3 to get the number of sugar beet farms: 48 / 3 = 16.
3. Use these numbers to complete the Venn diagram with the two disjoint sets, one with 48 (potatoes) and the other with 16 (sugar beets).

Answer 2

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.