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

Question

09-12-2020
Mathematics

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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

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tutorAnne tutorAnne · Answer 1 · 2020-12-12T02:19:53+01:00

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

[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]

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

[tex]\frac{16ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]

Jada mixes 24ml blue water with 9ml red water

[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]

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

[tex]\frac{24ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]

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