Question

It takes 1 4 cups of mayonnaise to make 3 4 cups of tuna fish salad. If Cory has a recipe for 1 cup of tuna fish salad, how much mayonnaise will he need to make 9 times the recipe? A) 3 cups of mayonnaise B) 5 cups of mayonnaise C) 6 cups of mayonnaise D) 9 cups of mayonnaise

Answer 1

Answer: OPTION A.

Step-by-step explanation:

Let be "x" the amount of cups of mayonnaise that he will need to make 1 cup of tuna fish salad and "y" the amount of cups of mayonnaise that he will need to make 9 times the recipe.

Knowing that it takes $\frac{1}{4}\ cups$ of mayonnaise to make $\frac{3}{4}\ cups$ of tuna fish salad, we can set up the following proportion:

$\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}$

Solving for "x", you get:

$\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}\\\\\frac{1}{3}=\frac{x}{1}\\\\x=\frac{1}{3}$

So "y" will be:

$y=9x$

Substituting the value of "x" into the equation, we get:

$y=9(\frac{1}{3})\\\\y=3$

Answer 2

Answer:

The answer will be A)

Step-by-step explanation: