a manufacturer made three mixtures of powdered dye and water.

Question

a manufacturer made three mixtures of powdered dye and water. the first mixture has 231 grams of powdered dye and 35 liters of water. the second mixture has 363 grams of powdered dye and 55 liters of water. the third mixture has 561 grams of powdered dye and 85 liters of water. state whether the amount of dye and amount of water are proportional for the three mixtures.

Answer 1

Hi Callista,

Your question is

a manufacturer made three mixtures of powdered dye and water. the first mixture has 231 grams of powdered dye and 35 liters of water. the second mixture has 363 grams of powdered dye and 55 liters of water. the third mixture has 561 grams of powdered dye and 85 liters of water. state whether the amount of dye and amount of water are proportional for the three mixtures

Given:

Mixture 1: 231g dye, 35L water

Mixture 2: 363g dye, 55 L water

Mixture 3: 561g dye, 85L water

Find: Is the amount of dye and water proportional for all 3 mixtures?

They are asking you if the proportion of dye/water is the same for all three.

That means you need to compare the ratio of dye to water for each...

Mixture 1: Ratio of dye to water is 231g/35L = 6.6 g/L

Mixture 2: 363g/55L = 6.6g/L

Mixture 3: 561g/85L = 6.6g/L

Each Mixture has the same ratio of 6.6.

Answer: Yes

Hope this helps.. Let me know if you need any more help!