Question

A recipe for tropical punch calls for 2 cups of pineapple juice and 3 cups of orange juice. Jo creates a drink by mixing 3 cups of pineapple juice with 4 cups of orange juice. How does Jo's drink compare to the tropical punch recipe?
Use the Pic if Needed :)

Answer 1

Answer:

we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .

Step-by-step explanation:

In Recipe for tropical punch

The Number of cups of pineapple juice = 2.

The Number of cups of orange juice = 3.

Thus , Total number of cub of juice = 2+3

                                                           = 5 cups.

So, % of pineapple in tropical punch $= \frac{2}{5}\times 100$

                                                             $=40\%$

So, % of orange juice in tropical punch $= \frac{3}{5}\times 100$

                                                                 $=60\%$

In Jo's drink

The Number of cups of pineapple juice = 3.

The Number of cups of orange juice = 4.

Thus Total number of cub of juice = 3+4 = 7 cups.

So, % of pineapple in Jo's drink  $= \frac{3}{7}\times 100$

                                                      $=42.85\%$

So, % of orange juice Jo's drink $= \frac{4}{7}\times 100$

                                                    $=57.14\%$

Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .

Answer 2

If you want to see if Jo’s drink is equivalent you have to make equivalent ratios.

punch recipe : 2 cups : 3 cups

Jo’s : 3 cups : 4 cups

Let’s make the pineapple juice each 1 cup

punch recipe: 1 cup : cups?

Jo’s : 1 cup : cups?

we have to divide in order for this to work!  since we divided 2 cups by 2 we divide 3.

punch recipe : 1 cup : 1.5

do the same thing for Jo’s. We divided 3 cups by 3 we divide 4 cups by 3 now.

jo’s recipe : 1 cup : 1.3

compare 1.5 is bigger than Jo’s recipe hers is not equivalen.