Respuesta :
Answer:
16 cups of salad dressings can be prepared by the ingredients available.
Step-by-step explanation:
It is given that Oil, vinegar and water are mixed in a ratio of 3 : 2 : 1.
Larry has 8 cups of oil, 7 cups of vinegar and access of water to prepare the maximum numbers of cups of salad dressing.
Let the number of oil used = 8 cups
then the number of cups of vinegar used will be in the ratio of 3 : 2,
[tex]\frac{\text{Oil}}{\text{Vinegar}}=\frac{3}{2}[/tex]
[tex]\frac{8}{\text{Vinegar}}=\frac{3}{2}[/tex]
[tex]\text{Vinegar}=\frac{2\times 8}{3}[/tex]
[tex]\text{Vinegar}=\frac{16}{3}[/tex] cups
Similarly, number of cups of water can be used in the ratio of 2 : 1,
[tex]\frac{\text{Vinegar}}{\text{Water}}=\frac{2}{1}[/tex]
[tex]\frac{\frac{16}{3}}{\text{Water}}=\frac{2}{1}[/tex]
[tex]\frac{16}{3\times \text{Water}}=2[/tex]
[tex]\text{Water}=\frac{16}{6}[/tex]
[tex]\text{Water}=\frac{8}{3}[/tex] cups
So total number of salad dressing prepared will be = [tex]8+\frac{16}{3}+\frac{8}{3}[/tex]
= [tex]8+\frac{(16+8)}{3}[/tex]
= 8 + 8
= 16 cups
Therefore, 16 cups of salad dressings can be prepared by the ingredients available.
