Understanding Ratios and Averages

The video tutorial explains how to find the ratio of the number of females to males in a group of sports fans, given their average ages. It starts by defining variables and writing equations based on the given data. The tutorial then demonstrates solving these equations using cross multiplication to find the desired ratio. The final result shows that the ratio of females to males is 2:1, meaning there are twice as many females as males in the group.

What is the average age of the entire group of sports fans?

• 30

• 40

• 50

• 35

If the average age of females is 35, what does this imply about the sum of their ages?

• It is equal to 35 times the number of females.

• It is equal to 35 divided by the number of females.

• It is equal to 35 plus the number of females.

• It is equal to 35 minus the number of females.

What is the average age of the males in the group?

• 50

• 40

• 35

• 30

How do you clear fractions from the equations in this problem?

• By dividing each term by the numerator.

• By subtracting the fractions from each other.

• By adding the fractions together.

• By multiplying each term by the denominator.

What is the result of substituting 35F for A in the first equation?

• A new equation with both F and M.

• A new equation with only F.

• A new equation with only M.

• No change in the equation.

What is the simplified form of the equation after substitution?

• 35F + 50M = 30F + 30M

• 35F + 50M = 50F + 50M

• 35F + 50M = 40F + 40M

• 35F + 50M = 20F + 20M

What is the final ratio of females to males?

• 1:2

• 1:3

• 3:1

• 2:1

How can the ratio of females to males be expressed?

• As a fraction, a colon, or a word form.

• Only as a fraction.

• Only as a colon.

• Only in word form.

What does a ratio of 2:1 imply about the number of females and males?

• There are three times as many females as males.

• The number of males and females is equal.

• There are twice as many females as males.

• There are twice as many males as females.

Which of the following is NOT a way to write the ratio of females to males?

• 2/1

• 2:1

• 2 to 1

• 1:2