A recipe for a sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much grape juice would you need to mix with 15/4 quarts of sparkling water

Respuesta :

Answer:


Step-by-step explanation:

1.5 quarts of grape juice should be mixed with 3/4 quarts of water.



1.5 is the same as 3/2. Our ratio is 3/2 : 3/4


If we multiply everything by 4, things will get even easier to understand.


This gives us a ratio of (4 x 3/2) : (4 x 3/4)...


...or more simply put as 6 : 3


Which is even more simply put as 2:1


so for 15/4 we want


15/4 x 2 = 15/2


or 7.5 quarts if you want to express it once again as a decimal.


(We can also attack the problem by simply considering is all in decimals at the outset; 1.5 quarts grape mixed with 0.75 quarts of water. The 2: 1 relationship is quite obvious looking at this. Once again 15/4 x 2 = 15/2 or seven and a half quarts).

Answer: 7.5 or 15/2

Step-by-step explanation: