Question

Data collected on types of fruit is given below.R = Red Fruit. B = Berries Given that:r1 =49r2 =10r3 =5r4 = 8A) how many types of fruit are not red?B) how many types of fruit are berries?C) how many types of fruit are red berries D) how many types of fruit are not red and not berries

Answer 1

You have the next diagram:

R=10+5=15

B=5+8=13

R∩B=5

U=49+5+8+10=72

A) how many types of fruit are not red?

The number of fruits that are not reds is those that are outside of the set R: 57

`\begin{gathered} R^(\prime)=U-R=72-15 \\ R^(\prime)=57 \end{gathered}`B) how many types of fruit are berries?

The number of fruits that are berries is those that are in the set B: 13

`B=13`C) how many types of fruit are red berries

The number of fruits that are red berries is those that are in set R and in set B: 5

`R\cap B=5`D) how many types of fruit are not red and not berries​

The number of fruits that are not red and not berries is those that are outside the sets R and outside the set B: 49