Question

A recipe for soup calls for 6 tablespoons of lemon juice and 1/2 cup of olive oil. The given recipe serves 3 ​people, but a cook wants to make a larger batch that serves 90. ​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

To make a larger batch of soup that serves 90 people, the chef will need 11.25 cups of lemon juice and 7.5 pints of olive oil.

Step-by-step explanation:

To find the amount of lemon juice needed for the larger batch, we can set up a proportion. Since the given recipe makes 3 servings and calls for 6 tablespoons of lemon juice, we can write the proportion: 6 tablespoons / 3 servings = x tablespoons / 90 servings. Solving for x, we find that the chef will need 180 tablespoons of lemon juice. Since there are 16 tablespoons in 1 cup, the chef will need 180/16 = 11.25 cups of lemon juice for the larger batch.

To find the amount of olive oil needed for the larger batch, we can set up a similar proportion. Since the given recipe makes 3 servings and calls for 1/2 cup of olive oil, we can write the proportion: 1/2 cup / 3 servings = y cups / 90 servings. Solving for y, we find that the chef will need 15 cups of olive oil for the larger batch. Since there are 2 cups in 1 pint, the chef will need 15/2 = 7.5 pints of olive oil for the larger batch.

Answer 2

a. The chef needs 11.25 cups of lemon juice to serve 90 people

b. The chef needs 7.5 pints of olive oil to serve 90 people

Step-by-step explanation:

6 tablespoons of lemon juice and 1/2 cup of olive oil = 3 servings

A cook wants to make a larger batch that serves 90. ​

6 tablespoons of lemon juice = 3 servings

1/2 cup of olive oil = 3 servings

a) How many cups of lemon juice will the chef need for the larger​ batch?

Find the ratio of lemon juice to solve the question

6 tablespoons of lemon juice : 3 servings = x : 90 servings

6 : 3 = x : 90

6/3 = x/90

Cross multiply

6 * 90 = 3 * x

540 = 3x

Divide both sides by 3

x = 540 / 3

= 180 tablespoons of lemon juice

There are 16 tablespoons in a cup

180 tablespoons of lemon juice

= 11.25 cups of lemon juice

The chef needs 11.25 cups of lemon juice to serve 90 people

b. How many pints of olive oil will the chef need for the larger​ batch?

Find the ratio of olive oil

1/2 cup of olive oil : 3 servings = x : 90 servings

1/2 ÷ 3 = x / 90

1/2 × 1/3 = x / 90

1/6 = x / 90

Cross multiply

1 * 90 = 6 * x

90 = 6x

Divide both sides by 6

x = 90 / 6

= 15 cups of olive oil

1 cup = half pint

15 cups = 7.5 pints

Therefore, the chef needs 7.5 pints of olive oil to serve 90 people