Need some help with these math questions?

Suppose that 1/2 of the children in preschool are scared of snakes, 1/3 are scared of spiders, and 1/12 are scared of snakes and spiders.

1. What fraction of those who are scared of spiders are also scared of snakes?

A) 1/2
B) 1/3
C) 1/4
D) 1/6

2. What fraction of those who are scared of snakes are also scared of spiders?

A) 1/2
B) 1/3
C) 1/4
D) 1/6

Respuesta :

Answer:

1. Option c is correct.

2. Option D is correct.

Step-by-step explanation:

1. We have been given that 1/3 of children are scared of spiders and 1/12 of the children are scared of snakes and spiders.

[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1}{12} \div\frac{1}{3}[/tex]

[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1}{12} \cdot\frac{3}{1}[/tex]

[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1\cdot3}{12\cdot1}=\frac{1}{4}[/tex]

Therefore, option C is the correct choice.

2. We have been given that 1/2 of children are scared of snakes and 1/12 of the children are scared of snakes and spiders.

[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1}{12} \div\frac{1}{2}[/tex]

[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1}{12} \cdot\frac{2}{1}[/tex]

[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1\cdot2}{12\cdot1}=\frac{1}{6} [/tex]

Therefore, option D is the correct choice.