The ratio of dye to pounds of clothing is constant. A worker develops the chart below to show the amount of dye needed
for different amounts of clothing.
Clothes Dyeing
Weight of clothing Cups of dye
(pounds)
21
3
42
9
84
12
105
15
For which weight of clothing is the ratio of weight to dye different from the other ratios?
21 pounds
42 pounds
84 pounds
105 pounds
Answers
Answer: The answer is 42
Step-by-step explanation:
I did the test too :)
The weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.
To determine which weight of clothing has a ratio of weight to dye different from the other ratios, we need to compare the ratios for each weight.
Let's calculate the ratios for each weight of clothing by dividing the weight of clothing (in pounds) by the cups of dye:
For 21 pounds of clothing: 21 pounds / 3 cups = 7 pounds per cup
For 42 pounds of clothing: 42 pounds / 9 cups = 4.67 pounds per cup
For 84 pounds of clothing: 84 pounds / 12 cups = 7 pounds per cup
For 105 pounds of clothing: 105 pounds / 15 cups = 7 pounds per cup
From the calculations, we can see that for weights of 21 pounds, 84 pounds, and 105 pounds of clothing, the ratios of weight to dye are the same, which is 7 pounds per cup. However, the ratio for 42 pounds of clothing is different, which is 4.67 pounds per cup.
Therefore, the weight of clothing for which the ratio of weight to dye is different from the other ratios is 42 pounds.
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=================================================
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Answers
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