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
