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A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling water would you need to mix with 9 quarts juice? Q2: How much grape jucie would you need to mix 15/4 quarts of sparkling water ? Q3: How much of each ingredient would you need to make 100 quarts of punch?

Respuesta :

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


ernikhil

(Q1) Sparkling water needed to mix with [tex]9[/tex] quarts juice is [tex]18\;quarts[/tex].

(Q2) Grape juice needed to mix [tex]\dfrac{15}{4}[/tex] quarts of sparkling water is [tex]\dfrac{15}{8}[/tex]

According to the question, a recipe for sparkling grape juice calls for [tex]\dfrac{3}{2}[/tex] quarts of sparkling water and [tex]\dfrac{3}{4}[/tex] quarts of grape juice.

(Q1) Sparkling water needed to mix with [tex]9[/tex] quarts juice is evaluated as-

[tex]\dfrac{3}{4}\;\rm quart \;of\; grape \;juice \rightarrow \dfrac{3}{2}\;\rm quart \;of\; sparkling\;water\\1\;\rm quart \;of\; grape \;juice\rightarrow \dfrac{3}{2}\times \dfrac{4}{3}\;\rm quart \;of\; sparkling\;water\\9\;\rm quart \;of\; grape \;juice\rightarrow \rightarrow 2\times 9\;\rm quart \;of\;sparkling\;water\\9\;\rm quart \;of\; grape \;juice=18\;\rm quart \;of\; sparkling\;water[/tex]

So, Sparkling water needed to mix with [tex]9[/tex] quarts juice is [tex]18\;quarts[/tex].

(Q2) Grape juice needed to mix [tex]\dfrac{15}{4}[/tex] quarts of sparkling water is evaluated as-

[tex]\dfrac{3}{2}\;\rm {quarts\;of\;sparkling\;water}\rightarrow \dfrac{3}{4}\;\rm {quarts\;of\;grape\;juice}\\\dfrac{15}{4}\;\rm {quarts\;of\;sparkling\;water}\rightarrow \dfrac{3}{4}\times \dfrac{2}{3}\times \dfrac{15}{4}\;\rm {quarts\;of\;grape\;juice}\\\\\dfrac{15}{4}\;\rm {quarts\;of\;sparkling\;water}\rightarrow \dfrac{15}{8}\;\rm {quarts\;of\;grape\;juice}[/tex]

So, Grape juice needed to mix [tex]\dfrac{15}{4}[/tex] quarts of sparkling water is [tex]\dfrac{15}{8}[/tex].

Learn more about unitary method here:

https://brainly.com/question/19423643?referrer=searchResults

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