Question

in which story could you use the quotient -3 ÷ -$\frac{3}{4}$ to answer the question? jen made up a card game where players draw a pair of cards in each round. if the cards are the same color, the player earns 1 point. otherwise, the player loses $\frac{3}{4}$ of a point. jen keeps drawing pairs of cards that are different colors. if her score is -3, how many rounds has she played? jen made up a card game where players draw a pair of cards in each round. if the cards are the same color, the player earns 1 point. otherwise, the player loses $\frac{3}{4}$ of a point. jen keeps drawing pairs of cards that are different colors. if she has played 3 rounds, what is her score?

Explanation:

Step1: Recall division formula for finding number of units

The formula to find the number of units when the total value and value - per - unit are known is $\text{Number of units}=\frac{\text{Total value}}{\text{Value per unit}}$.

Step2: Identify values in the card - game context

In the card game, when drawing different - colored cards, the player loses $\frac{3}{4}$ of a point per round (so the value per round is $-\frac{3}{4}$ as it's a loss), and Jen's total score is $- 3$ (total value). To find the number of rounds, we use the division $-3\div-\frac{3}{4}$.
In the second story, we would use multiplication ($3\times-\frac{3}{4}$) to find the score when the number of rounds is known.

Answer:

The first story (Jen made up a card game where players draw a pair of cards in each round. If the cards are the same color, the player earns 1 point. Otherwise, the player loses $\frac{3}{4}$ of a point. Jen keeps drawing pairs of cards that are different colors. If her score is $-3$, how many rounds has she played?)