Question

evelyn is making bows from blue ribbon and white ribbon. she uses 6 in. of blue ribbon for every 9 in. of white ribbon. evelyn has 82 in. of blue ribbon and 114 in. of white ribbon. which color of ribbon will she run out of first? explain.

Explanation:

Step1: Calculate blue ribbon usage

For blue ribbon, ratio is 6 in per bow. Total blue: 82 in. Number of bows possible: $82 \div 6 \approx 13.67$ (we take the floor as partial bows don't count fully).

Step2: Calculate white ribbon usage

For white ribbon, ratio is 9 in per bow. Total white: 114 in. Number of bows possible: $114 \div 9 \approx 12.67$ (floor value).

Step3: Compare bow counts

Since $12.67 < 13.67$, white ribbon can make fewer bows, so it runs out first.

Answer:

White ribbon will run out first.