Question

in which story could you use the quotient -2 ÷ -\frac{1}{4} to answer the question? ethan and sue are playing a game with a bag of marbles. if they draw a yellow marble, they lose \frac{1}{4} of a point. if they draw a red marble, they earn \frac{1}{2} of a point. ethan draws 2 times. if he draws a yellow marble each time, what is his final score? ethan and sue are playing a game with a bag of marbles. if they draw a yellow marble, they lose \frac{1}{4} of a point. if they draw a red marble, they earn \frac{1}{2} of a point. ethans final score is -2. if he drew a yellow marble each time, how many times did he draw?

Explanation:

Step1: Analyze the first story

In the first story, losing $\frac{1}{4}$ of a point for each yellow - marble draw and drawing 2 yellow marbles gives a score of $2\times(-\frac{1}{4})=-\frac{1}{2}$, not related to $- 2\div(-\frac{1}{4})$.

Step2: Analyze the second story

In the second story, let the number of draws be $n$. Since losing $\frac{1}{4}$ of a point per yellow - marble draw and the final score is $-2$. We can set up the equation $n\times(-\frac{1}{4})=-2$. Solving for $n$ gives $n=-2\div(-\frac{1}{4})$.

Answer:

The second story.