Taka is playing a game of cards.
There are positive points as well as negative points.
She scores 52 positive points.
She gets a -3 each time she misses the board.
Let x denotes the number of times she missed the board.
Her final point total is 37
[tex]\begin{gathered} 52+(-3x)=37 \\ 52-3x=37 \end{gathered}[/tex]
The sum of positive points and negative points must be equal to the total final points.
Where the negative points are (-3x)
Let us solve the above equation for x
[tex]\begin{gathered} 52-3x=37 \\ -3x=37-52 \\ -3x=-15 \\ x=\frac{-15}{-3} \\ x=5 \end{gathered}[/tex]
Therefore, she missed the board 5 times.
Equation: 52 - 3x = 37
5 misses
