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.

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
`(1)/(4)\ cups` of mayonnaise to make
`(3)/(4)\ cups` of tuna fish salad, we can set up the following proportion:

`((1)/(4))/((3)/(4))=(x)/(1)`

Solving for "x", you get:

`((1)/(4))/((3)/(4))=(x)/(1)\\\\(1)/(3)=(x)/(1)\\\\x=(1)/(3)`

So "y" will be:

`y=9x`

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

`y=9((1)/(3))\\\\y=3`