Question

PLEASE HELP

A recipe for soup calls for 4 tablespoons of lemon juice and 1/2 cup of olive oil. The given recipe serves 4 ​people, but a cook wants to make a larger batch that serves 120 . ​


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

120 table spoons of lemon juice.

15 cups of olive oil.

Answer 2

a) To determine the amount of lemon juice needed for the larger batch, we need to multiply the original amount by the ratio of the larger batch to the original. If the original recipe serves 4 people, and the chef wants to make a batch that serves 120, the ratio is 120/4 = 30.

So the chef will need 30 times the amount of lemon juice that the original recipe calls for.

The original recipe calls for 4 tablespoons of lemon juice, so 4 tablespoons x 30 = 120 tablespoons of lemon juice needed for the larger batch.

Since there are 16 tablespoons in a cup, 120 tablespoons is equivalent to 120/16 = 7.5 cups.

b) To determine the amount of olive oil needed for the larger batch, we will again multiply the original amount by the ratio of the larger batch to the original, which is 30.

The original recipe calls for 1/2 cup of olive oil, so 1/2 cup x 30 = 15 cups of olive oil needed for the larger batch.

Since there are 2 cups in a pint, 15 cups is equivalent to 15/2 = 7.5 pints of olive oil.

So the chef will need 7.5 pints of olive oil for the larger batch.