Question

3) The ratio of girls to boys on Mr. Miller's teamis 4 to 5. If there are 48 girls his team, thenhow many students are there on his team? (hint: studentsis a total, so you have to change 4 to 5 to a __ out ofratio.

Answer 1

We will investigate the application of ratios applied to the number of students in class where a ratio is expressed for two genders.

The Mr. Miller's teams has certain number of girls and boys. The ratio to each gender of students on his team is given as:

`\frac{Number\text{ of girls}}{Number\text{ of boys}}\text{ = }(4)/(5)`

We are to determine the total number of students on Mr.Miller's team if his team had 48 girls.

We will used the ratio that is expressed as a fraction and plug in the respective quantity of ( 48 ) girls as follows:

`\frac{48}{Number\text{ of boys}}\text{ = }(4)/(5)`

Now we will solve the above equation for the number of boys on the team as follows:

`\begin{gathered} \text{Number of boys = 48}\cdot(5)/(4) \\ \\ \text{Number of boys = 60 } \end{gathered}`

The total number of students on Mr Miller's team is the sum of both genders as follows:

`\text{Students on team = Number of boys + Number of girls}`

Plug in the respective quantities and solve for the total number of students on the team: