Question

The ratio of students polled in 6th grade who prefer lemonade to iced tea is 8:4, or 2:1. If there were 39 students in 6th grade polled, explain how to find the number of students that prefer lemonade and the number of students that prefer iced tea using a ratio table. Be sure to tell how many students prefer each.

Answer 1

Step-by-step explanation

Given:

• the ratio of students that prefer lemonade to ice tea is 2:1

,

• The total number of students in the class is 39

We have to find the number of students in that class that prefer lemonade and iced tea.

If the ratio is 2:1, then if 4 students prefer lemonade 2 students prefer iced tea. If 6 students prefer lemonade, then 3 students prefer iced tea and so on,

Let x be the number of students that prefer iced tea. Then the number of students that prefer lemonade is always twice that number, 2x.

The sum of the two groups of students is 39, the total number of students in the class,

`2x+x=39`

Solve for x,

`\begin{gathered} 3x=39 \\ x=(39)/(3) \\ x=13 \end{gathered}`

From this class, 13 students prefer iced tea, and the number of students that prefer lemonade is twice that number, 26.