Question

2/7 of the people watching a football game are children. 3/8 of the children are girls.

Answer 1

Answer:

Step-by-step explanation:

fraction of children watching the football match =  2/7

3/8 of the children are girls

so, the fraction of the girls watching the match = 2/7 * 3/8

                                                                             = 3/28

does this help?

Answer 2

Answer:

(a) 3/28

(b) 5/28

(c) 5/7

Step-by-step explanation:

(a) To find 3/8 ths of 2/7, multiply the fractions:

$\implies \dfrac38 \textsf{ of } \dfrac27=\dfrac27 \times \dfrac38=\dfrac{2 \times3}{7 \times8}=\dfrac{6}{56}=\dfrac{3}{28}$

(b)  The sum of the probabilities of all possible outcomes is 1.

Therefore, if 3/8 of the children are girls, then 1 - 3/8 are boys:

$\implies 1-\dfrac38=\dfrac88-\dfrac38=\dfrac{8-3}{8}=\dfrac58 \textsf{ of children are boys}$

So again, multiply 5/8 by 2/7 to find 5/8ths of 2/7:

$\implies \dfrac58 \textsf{ of } \dfrac27=\dfrac27 \times \dfrac58=\dfrac{2 \times5}{7 \times8}=\dfrac{10}{56}=\dfrac{5}{28}$

(c) The sum of the probabilities of all possible outcomes is 1.

Therefore, if 2/7 of the people watching the football game are children, then 1 - 2/7 are not children:

$\implies 1-\dfrac27=\dfrac77-\dfrac27=\dfrac{7-2}{7}=\dfrac57 \textsf{ of people watching the football are NOT children}$