Question

Taka is playing a game of cards. She scores 52 positive points. She gets a -3 each time she misses the board. Her final point total is 37. Write and solve an equation to find out how many times she missed the board, x.Enter the correct answers in the boxes.Multiply the score for each times the number of times she misses. in equation

Answer 1

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

`\begin{gathered} 52+(-3x)=37 \\ 52-3x=37 \end{gathered}`

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

`\begin{gathered} 52-3x=37 \\ -3x=37-52 \\ -3x=-15 \\ x=(-15)/(-3) \\ x=5 \end{gathered}`

Therefore, she missed the board 5 times.

Equation: 52 - 3x = 37

5 misses