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?

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

answer: sensy

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.