Rachel is making nachos for a party the recipe calls for 2/3 cup of cheese for each plate of nachos how many full plate of nachos can Rachel make with 5 cups of cheese how many more cups of cheese would Rachel need to make 9 plates of nachos

Respuesta :

Answer:

  • 7 plates
  • 1 cup

Step-by-step explanation:

If we let c and p represent the cups of cheese and plates of nachos, we have ...

  c = 2/3p . . . . . each plate of nachos requires 2/3 cups of cheese

Solving for p, we find ...

  (3/2)c = p . . . . . multiply by 3/2

Then for 5 cups of cheese, we have ...

  (3/2)(5) = p = 15/2 = 7 1/2 . . . . plates of nachos

5 cups of cheese will make 7 full plates of nachos.

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For 9 plates of nachos, we need ...

  c = 2/3(9) = 6 . . . . . . cups of cheese

Since we have 5 cups of cheese, we need 1 more cup of cheese to make 9 plates of nachos.