Question

You are playing laser tag. The table shows how many points you gain or lose when you tag or are tagged by another player in different locations. You are tagged three times on the back, twice on the shoulder, and twice on the laser. You tag two players on the front, four players on the back, and one player on the laser. What is your score?

Tag Locations	Points Gained	Points Lost
Front	$200$	$50$
Back	$100$	$25$
Shoulder	$50$	$12$
Laser	$50$	$12$

Answer 1

Step 1: Find the score:

You are tagged three times on the back, twice on the shoulder, and twice on the laser.

You have tagged means points lost

$$\begin{gathered} =3\left(25\right)+2\left(12\right)+2\left(12\right) \\ =75+24+24 \\ =123points \end{gathered}$$

Step 2: You tag two players on the front, four players on the back and one player on the laser.

You tagged others mean points gained

$$\begin{gathered} =2\left(200\right)+4\left(100\right)+1\left(50\right) \\ =400+400+50 \\ =850points \end{gathered}$$

Step 3: Total score:

Score = points gained – points lost

$$\begin{gathered} =850-123 \\ =727points \end{gathered}$$

Hence, the score is 727 points.