Answer :
To find out which weight of clothing has a different ratio compared to the others, we need to determine the ratio of weight to dye for each entry in the chart. Here's how we can do it step by step:
1. Calculate the Ratio for Each Weight:
- For 21 pounds of clothing with 3 cups of dye, the ratio is [tex]\( \frac{21}{3} = 7.0 \)[/tex].
- For 42 pounds of clothing with 9 cups of dye, the ratio is [tex]\( \frac{42}{9} \approx 4.67 \)[/tex].
- For 84 pounds of clothing with 12 cups of dye, the ratio is [tex]\( \frac{84}{12} = 7.0 \)[/tex].
- For 105 pounds of clothing with 15 cups of dye, the ratio is [tex]\( \frac{105}{15} = 7.0 \)[/tex].
2. Compare Each Ratio:
- The first ratio is 7.0.
- The second ratio is approximately 4.67, which is different from the first.
- The third and fourth ratios are both 7.0, which match the first ratio.
3. Determine the Outlier:
- The only different ratio is 4.67, which corresponds to the 42 pounds entry.
So, for 42 pounds of clothing, the ratio of weight to dye is different from the other ratios.
1. Calculate the Ratio for Each Weight:
- For 21 pounds of clothing with 3 cups of dye, the ratio is [tex]\( \frac{21}{3} = 7.0 \)[/tex].
- For 42 pounds of clothing with 9 cups of dye, the ratio is [tex]\( \frac{42}{9} \approx 4.67 \)[/tex].
- For 84 pounds of clothing with 12 cups of dye, the ratio is [tex]\( \frac{84}{12} = 7.0 \)[/tex].
- For 105 pounds of clothing with 15 cups of dye, the ratio is [tex]\( \frac{105}{15} = 7.0 \)[/tex].
2. Compare Each Ratio:
- The first ratio is 7.0.
- The second ratio is approximately 4.67, which is different from the first.
- The third and fourth ratios are both 7.0, which match the first ratio.
3. Determine the Outlier:
- The only different ratio is 4.67, which corresponds to the 42 pounds entry.
So, for 42 pounds of clothing, the ratio of weight to dye is different from the other ratios.
