Twenty two people are running in tomorrow's road race and Jerome thinks they will which want two cups of energy drink. How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.

heres most of my answers execpt the last one cause i didnt do it yet

Step-by-step explanation:

Step 1: Finding the part-to-part and part-to-whole ratios  

To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.  

a.What is the ratio of water to drink mix? (2 points)  

   8:3  

b.What is the ratio of drink mix to water? (2 points)  

   3:8  

c.What is the ratio of drink mix to mixed energy drink? (2 points)  

       3:8  

d.What is the ratio of water to mixed energy drink? (2 points)  

   8:8  

Step 2: Testing Jerome’s brother’s approach  

Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a.Complete the table below. (2 points)  

 Original Ratio  +1  +2  +3  +4  

Drink mix (cups)  3  4  5  6    7  

Water (cups)  8  9  10  11  12  

b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s brother is wrong because in Jerome’s original mix his ratio is 8:3 and Jerome’s brother is saying to add 1 cup of water to the mix that would usually take 2.6666….and that would just make the drink powdery and not taste very well.  

Step 3: Testing Jerome’s sister’s pproach  

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a.Complete the table below. (2 points)  

 Original Ratio  ×1  ×2  ×3  ×4  

Drink mix (cups)  3     3   6  9          12  

Water (cups)  8    8  16  24    

       32

Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s sister is correct because in Jerome’s original ratio he has 8:3 and his sister is saying to multiply the ratio of water to drink mix and still increase the amount of energy drink.  

Page Break  

Step 4: Calculating the right recipe for Jerome  

Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.  

a.How many cups of energy drink does Jerome need to make?  

(1 point)  

44 cups of water  

How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing. (4 points)  

                       4812162024

Cups of mix369121518

cups of water81624324048

                         X1   X2  X3   X4  X5    X6

Hope this helps :3

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.