Ronald is preparing lemonade for his friends. To make 6 cups of lemonade, he needs 1 cup of lemon juice. To make 24 cups of lemonade, he needs to proportionally increase the amount of lemon juice to cups

Respuesta :

1 cup=6 lemonade
X cups= 24 lemonade
Therefore;
x=24/6 × 1 = 4 cups.

Therefore four cups are needed for 24 cups of lemonade.

Answer:

To make 24 cups of lemonade, he needs 4 cup of lemon juice.

Step-by-step explanation:

It is given that To make 6 cups of lemonade, Ronald needs 1 cup of lemon juice.

The relation between cups of lemonade and cup of lemon juice is directly proportional, because as the number of cups of lemonade increases the number of lemon juice also increases.

Let to make 24 cups of lemonade, he needs x cup of lemon juice.

[tex]\frac{\text{Number of lemonade cups}}{\text{Number of lemon juice cups}}=\frac{6}{1}=\frac{24}{x}[/tex]

[tex]\frac{6}{1}=\frac{24}{x}[/tex]

Use cross multiplication, to solve the above equation.

[tex]6x=24[/tex]

Divide both sides by 6.

[tex]x=\frac{24}{6}[/tex]

[tex]x=4[/tex]

Therefore to make 24 cups of lemonade, he needs 4 cup of lemon juice.

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