Answer:
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
