Question

A recipe for soup calls for 4 tablespoons of lemon juice and 1/2

cup of olive oil. The given recipe serves 5 ​people, but a cook wants to make a larger batch that serves 50.
a) How many cups of lemon juice will the chef need for the larger​ batch?
​b) How many pints of olive oil will the chef need for the larger​ batch?

Answer 1

Part (a)

Let the tablespoons of lemon juice be x.

`(50)/(5)=(x)/(4)\\\\10=(x)/(4)\\ \\ x=40`

40 tablespoons is equal to 2.5 cups.

Part (b)

Let the pints of olive oil be y.

`(50)/(5)=(y)/(1/2)\\\\10=(y)/(1/2)\\\\y=5`

5 cups is equal to 2.5 pints.