Question

Need help on the middle section and outer section

Answer 1

• both: 6
• none: 34

Explanation:

You want the numbers of farms that grow both potatoes and sugar beets, and neither potatoes nor sugar beets, given the listed relations.

Both

If we let B represent the number of farms that grow both potatoes and sugar beets (the middle number), then the 3:1 relation will be ...

3 : 1 = (48 +B) : (12 +B)

3(12 +B) = 48 +B . . . . . . . . "cross multiply"

36 +3B = 48 +B . . . . . . . . eliminate parentheses

2B = 12 . . . . . . . . . . . . . subtract (B+36)

B = 6

The middle number is 6.

Neither

The outer number is what's left of 100 after you subtract the numbers in the circles:

Neither = 100 - 48 -6 -12 = 34

The outer number is 34.

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