Question

A blind taste test is over and a new favorite juice flavor has been selected. The new flavor received 3 votes for every vote received by the original flavor. The new flavor received 723 votes. How many votes did the original flavor receive?

Answer 1

According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:

• x = # of votes of the original flavour,

,

• n = # of votes of the new flavour.

We can write the following equation for the number of votes:

`n=3\cdot x`

Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:

`\begin{gathered} 723=3\cdot x, \\ x=(723)/(3)=241. \end{gathered}`

Answer

The original flavour received 241 votes.