Charlie likes to eat 3/4 cup of cereal each morning for breakfast. How many servings will he be able to eat from a box that has 12 cups of cereal in it? Please show work. thanks

Respuesta :

He will be able to eat 16 serving from the box that has 12 cups of cereal in it

Step-by-step explanation:

Charlie likes to eat 3/4 cup of cereal each morning for breakfast

We need to find how many servings he will be able to eat from a box

that has 12 cups of cereal in it

To solve the problem

  • Divide the number of cubs in the box by the quantity he like to eat
  • If the divisor in the division problem is a fraction we change the division to multiplication and reciprocal the divisor

∵ There are 12 cups in the box

∵ Charlie likes to eat [tex]\frac{3}{4}[/tex] cup

- Divide the number of the cups in the box by [tex]\frac{3}{4}[/tex]

∴ The number of serving = 12 ÷ [tex]\frac{3}{4}[/tex]

Change the division sign to multiplication sign and reciprocal [tex]\frac{3}{4}[/tex]

∵ The reciprocal of [tex]\frac{3}{4}[/tex] = [tex]\frac{4}{3}[/tex]

∴ The number of serving = 12 ×  [tex]\frac{4}{3}[/tex]

∴ The number of serving = [tex]\frac{48}{3}[/tex]

∴ The number of serving = 16

He will be able to eat 16 serving from the box that has 12 cups of cereal in it

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