To make orange fizz, noah mixes 4 scoops of powder with 6 cups of water. andre mixes 5 scoops of powder with 8 cups of water. part a: create a double number line or a table that shows different amounts of powder and water that taste the same as noah’s mixture. part b: create a double number line or a table that shows different amounts of powder and water that taste the same as andre’s mixture. part c: how do their two mixtures compare in taste? explain your reasoning.

a. The table that shows the different amounts of powder and water that state the same as Noah's mixture is:

Scoops of powder   Cups of water

8                                    12

12                                   18

16                                   24

20                                  30

b. The table that shows the different amounts of powder and water that state the same as Andre's mixture is:

Scoops of powder   Cups of water

10                                   16

15                                   24

20                                 32

25                                 40

c. Noah's mixture would taste more of orange when compared with Andre's mixture.

In order to make the tables, the ratio of powder to water has to be determined first.

For Noah, the ratio of powder to water is 4: 6. When expressed in simplest form, it is 2:3.

For Andre, the ratio of powder to water is 5 : 8.

The second step to take in making the table is to identify the multiples of the ratios.

The first 10 multiples of 4 = 8, 12, 16, 20, 24, 28, 32, 40, 44

The first 10 multiples of 6 = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66

The first 10 multiples of 5 = 10, 15, 20, 25, 30, 35, 40, 45, 50, 55

The first 10 multiples of 8 = 16, 24, 32, 40, 48, 56, 64, 72, 80 and 88

The different amount of powder and water that taste the same as Noah's mixture would be multiples of 4 and 6 that are multiplied by the same number. For example, 8 and 12, 12 and 18, 16 and 24, 20 and 30 would have taste the same as Noah's mixture.

The different amount of powder and water that taste the same as Andre's mixture would be multiples of 5 and 8 that are multiplied by the same number. For example, 10 and 16, 15 and 24, 20 and 32, 25 and 40 would have the same taste as Noah's mixture.

In order to compare the taste, determine whose mixture contains more water.

Water content of Noah's mixture = 6/4 = 1.5

Water content of Andre's mixture = 8/5 = 1.6

Andre's mixture contains more water and thus would taste less than orange when compared with Noah's mixture.

A similar question was answered here: link

The tables are given below and

since,

so, Noah's mixture will taste more like orange, than Andre's mixture.              

Step-by-step explanation:

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water, Andre mixes 5 scoops of powder with 8 cups of water.

so, can construct the following tables -

A) table that shows  different amounts of powder and water that taste the same as Noah's mixture :-

Serial no.  Powder in  scoops       cups of water

      1                 8                                   12

      2               12                                   18

      3               16                                    24

      4.               20                                   30

      5.               24                                   36              

B) table that shows  different amounts of powder and water that taste the same as Andre 's mixture :-

Serial no.  Powder in  scoops       cups of water

      1                 10                                   16

      2                15                                   24

      3                20                                   32

      4.               25                                   40

      5.               30                                   48

C) Since,

so, Noah's mixture wili taste more like orange, than Andre's mixture.              

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