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Rachel is making nachos for a party. The recipe calls for 2/3 cups of cheese for each plate of nachos. How many plates can she make with five cups of cheese

Respuesta :

calculista

Answer:

[tex]7\frac{1}{2}\ plates[/tex]

Step-by-step explanation:

we know that

The recipe calls for 2/3 cups of cheese for each plate of nachos

so

using proportion

Find out how many plates can she make with five cups of cheese

let

x ----> the number of plates

[tex]\frac{1}{(2/3)}\frac{plate}{cups} =\frac{x}{5} \frac{plates}{cups}\\ \\x=5/(2/3)\\ \\x=7.5\ plates[/tex]

Convert to mixed number

[tex]7.5=\frac{14}{2}+\frac{1}{2}=7\frac{1}{2}\ plates[/tex]

abidemiokin

She can make 7.5plates with 5 cups of cheese

Ratios and proportions

According to the question, we are told that the recipe calls for 2/3 cups of cheese for each plate of nachos. This is expressed as:

2/3 cups of cheese = 1 plate of nachos

In order to calculate the number of plates she can make with  five cups of cheese

5 cups  = x

Cross multiply

2/3x = 5

2x = 15

x = 7.5 plates

Hence she can make 7.5plates with 5 cups of cheese

learn more on ratios and proportions here: https://brainly.com/question/2328454

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