Question

lucy has a game that uses yellow cards and red cards. the ratio of yellow cards to red cards is \\(\frac{4}{7}\\). which statement is another way to describe the ratio?
a. \\(\circ\\) there are 4 red cards and 7 yellow cards.
b. \\(\circ\\) for every 4 yellow cards, there are 7 red cards.
c. \\(\bullet\\) there are between 4 and 7 yellow and red cards.
d. \\(\circ\\) for every 7 yellow cards, there are 4 red cards.

Explanation:

Step1: Understand the ratio

The ratio of yellow cards to red cards is $\frac{4}{7}$, which means for every 4 yellow cards, there are 7 red cards (since the first number in the ratio is yellow, the second is red).

Step2: Analyze each option

• Option A: Says 4 red and 7 yellow, which swaps the ratio. Incorrect.
• Option B: Matches the ratio interpretation (4 yellow, 7 red). Correct.
• Option C: The ratio doesn't mean the total is between 4 and 7. Incorrect.
• Option D: Swaps the ratio (7 yellow, 4 red). Incorrect.

Answer:

B. For every 4 yellow cards, there are 7 red cards.