Manny is making 12 quarts of orange juice from concentrate and water. The number of quarts of water is 3 times the number of quarts of concentrate. How many quarts of concentrate and how many quarts of water does Manny need?

Respuesta :

Answer: There are 3 quarts of concentrate and 9 quarts of water.

Step-by-step explanation:

Since we have given that

Ratio of number of quarts of water to number of quarts of concentrate is

3:1

Number of quarts of orange juice from concentrate and water = 12 quarts

So, the number of quarts of concentrate would be

[tex]\dfrac{1}{4}\times 12\\\\=\dfrac{12}{4}\\\\=3\ quarts[/tex]

the number of quarts of water would be

[tex]\dfrac{3}{4}\times 12\\\\=3\times 3\\\\=9\ quarts[/tex]

Hence, there are 3 quarts of concentrate and 9 quarts of water.