Question

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

The cook needed ____ pints of olive oil for the larger batch.
(Type a whole number, proper fraction, or a mixed number)

!!Please we have tried to use AI to find the answer and it keeps on giving the wrong answer!!

Answer 1

Answer: the mixed number 7 1/2

It can also be written as 7 & 1/2

whole part = 7

fractional part = 1/2

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Step-by-step explanation

1/2 cup of olive oil serves 4 people.

We can express this as the ratio 1/2 : 4 where the first number is the amount of olive oil (in cups) and the second number is the number of people.

The template for the ratio is AmountOfOliveOil : NumberOfPeople

What we need to do is change the "4" into "120". We must multiply both parts of the ratio by 30 since 4*30 = 120

So,

• (1/2)*30 = 15
• 4*30 = 120

The ratio 1/2 : 4 scales up to the equivalent ratio 15 : 120. It means "15 cups of olive oil is needed to serve 120 people".

From here, we convert from cups to pints. On a reference sheet, or something you memorize, would be the equation 1 pint = 2 cups. Divide both sides by 2 to get 1 cup = 0.5 pints.

Then multiply both sides by 15 to get 15 cups = 7.5 pints

This converts to the mixed number 7 1/2 which is the final answer.

We need 7 full pints, plus an additional 1/2 a pint, of olive oil to be able to serve 120 people.

Side notes:

• The mixed number 7 1/2 can be written as 7 & 1/2 to better separate the whole part from the fraction.
• The mixed number 7 & 1/2 converts to the improper fraction 15/2. It is not a proper fraction because the numerator is larger than the denominator.

Answer 2

Answer: 15
Explanation: If 1/2 cup of olive oil serves 4 people and we want to serve 120, that means we need to make 30 batches. Simply just multiply 30 by 1/2 and you’d get 15! You could also divide 30
By 2 and it’s the same thing.