In the first round of a card game, Niki scored 20.5 points. Then, she lost 10 1/4 points on one turn and also lost 24.75 points on her final turn. What is Niki's final score?

Answer 1

To determine Niki's final score after her losses, we start with her initial score and subtract the points she lost.

1. Initial Score: Niki started with 20.5 points.

2. Losses:

   • She lost 10 1/4 points on one turn. We can convert 10 1/4 into an improper fraction: \[ 10 \frac{1}{4} = 10 + 0.25 = 10.25 \]
   • She also lost 24.75 points on her final turn.

Now we need to sum up these losses: \[ 10.25 + 24.75 \]

To add these two numbers:

• First, add the whole numbers and then add the decimal parts: \[ 10.25 + 24.75 = (10 + 24) + (0.25 + 0.75) = 34 + 1 = 35 \]

3. Final Calculation: Now we subtract the total loss from the initial score: \[ 20.5 - 35 \]

To perform this subtraction, we can convert 20.5 to a fraction: \[ 20.5 = 20 \frac{1}{2} = 20.5 = \frac{41}{2} \] Now we convert 35 into a fraction as well: \[ 35 = \frac{70}{2} \]

Now we can subtract: \[ \frac{41}{2} - \frac{70}{2} = \frac{41 - 70}{2} = \frac{-29}{2} \]

This can be rewritten as a decimal: \[ \frac{-29}{2} = -14.5 \]

Thus, Niki's final score is: \[ \boxed{-14.5} \]