Respuesta :
Answer:
8 cups of green apple juice and 4 cups of carrot juice.
Step-by-step explanation:
2 cups carrot juice for every 4 cups green apple juice
4 carrot --> 8 green apple
4+8= 12 cups
Mixing green apple juice and carrot juice is an illustration of equivalent ratios.
Macy needs 4 cups of carrot juice, and 8 cups of green apple juice to make 12 cups of fruit punch
The ratio is given as:
[tex]Carrot : Green\ Apple = 2 : 4[/tex]
Express the proportion of each fruit juice as a fraction
[tex]Carrot = \frac{2}{2+ 4}[/tex]
[tex]Carrot = \frac{2}{6}[/tex]
Reduce fraction
[tex]Carrot = \frac{1}{3}[/tex]
Similarly,
[tex]Green\ Apple = \frac{4}{2+ 4}[/tex]
[tex]Green\ Apple = \frac{4}{6}[/tex]
Reduce fraction
[tex]Green\ Apple = \frac{2}{3}[/tex]
To make 12 cups of fruit punch, the amount of each fruit juice needed is:
[tex]Carrot = \frac{1}{3} \times 12[/tex]
[tex]Carrot = 4[/tex]
[tex]Green\ Apple = \frac{2}{3} \times 12[/tex]
[tex]Green\ Apple = 8[/tex]
Hence, Macy needs 4 cups of carrot juice, and 8 cups of green apple juice to make 12 cups of fruit punch
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