Question

There were 61 athletes at the annual sports banquet who played on either the football team or the baseball team. If 49 were on the football team and 18 were on the baseball team, how many players were on both teams?

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The number of players on both teams.

Given:

Total number of athletes = 61

Number of players on football team = 49

Number of player on baseball team = 18

Let x be the number of players on both teams.

Step 1

Draw a Venn diagram representing the information.

Step 2

Add and equate to the total number.

That is;

`61=49-x+x+18-x`

Step 3

Collect like term.

`\begin{gathered} x-x+x=49+18-61 \\ \\ x=6 \end{gathered}`

ANSWER

There were 6 players on both teams.