A group of 36 fourth grade students voted for their favorite sport. 2 out of 9 votes were for lacrosse. The other votes were for basketball. How many votes did

basketball receive?

7/9 = x/36

Solve for x.

Thanks

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To find out how many votes basketball received, we first need to determine the number of votes that were cast for lacrosse.

According to the information given, 2 out of 9 votes were for lacrosse. So, we can calculate the number of lacrosse votes by dividing the total number of votes by the fraction representing the votes for lacrosse.

We can set up a proportion:

\( \frac{{\text{{Number of lacrosse votes}}}}{{\text{{Total number of votes}}}} = \frac{2}{9} \)

Let's set up the equation using "x" to represent the total number of votes:

\( \frac{x}{{36}} = \frac{2}{9} \)

To solve for "x," we can cross-multiply:

\( 2 \times 36 = 9 \times x \)

\( 72 = 9x \)

Next, we divide both sides of the equation by 9 to isolate "x":

\( \frac{72}{9} = \frac{9x}{9} \)

\( 8 = x \)

Therefore, the total number of votes is 8.

Since the question states that all the other votes were for basketball, we can conclude that basketball received 36 - 8 = 28 votes.