Question

The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre

Answer 1

Jada will get a color mixture that is the same shade as Perfect Purple Water, since her mixture maintains the required 8:3 blue to red ratio. Andre's mixture has too much red dye, so his shade will be different.

Step-by-step explanation:

The student's question involves determining which person will get a color mixture that is the same shade as Perfect Purple Water when mixing specified amounts of blue and red water. The Perfect Purple Water recipe calls for a ratio of 8 ml of blue water to 3 ml of red water. Jada mixed 24 ml of blue water with 9 ml of red water, maintaining the same ratio of 8:3. Andre mixed 16 ml of blue water with 9 ml of red water, which does not keep the ratio consistent. Therefore, only Jada will achieve the desired Perfect Purple Water, since her mixture is correctly diluted according to the recipe, whereas Andre's mixture is more concentrated with red dye than specified.

Answer 2

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

`(8ml)/(3ml)` is not equivalent to
`(16ml)/(9ml)`

Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe

`(16ml)/(9ml)`
`(/)/(/)`
`(3)/(3)` =
`(5.3ml)/(3ml)`

Jada mixes 24ml blue water with 9ml red water

`(8ml)/(3ml)` is equivalent to
`(24ml)/(9ml)`

Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe

`(24ml)/(9ml)`
`(/)/(/)`
`(3)/(3)` =
`(8ml)/(3ml)`

This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water