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.

$\frac{50}{5}=\frac{x}{4}\\\\10=\frac{x}{4}\\ \\ x=40$

40 tablespoons is equal to 2.5 cups.

Part (b)

Let the pints of olive oil be y.

$\frac{50}{5}=\frac{y}{1/2}\\\\10=\frac{y}{1/2}\\\\y=5$

5 cups is equal to 2.5 pints.