Q:

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

Accepted Solution

A:
He will be able to eat 16 serving from the box that has 12 cups of cereal in itStep-by-step explanation:Charlie likes to eat 3/4 cup of cereal each morning for breakfastWe need to find how many servings he will be able to eat from a boxthat has 12 cups of cereal in itTo solve the problemDivide the number of cubs in the box by the quantity he like to eatIf 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 = 16He will be able to eat 16 serving from the box that has 12 cups of cereal in it Learn more:You can learn more about fractions in brainly.com/question/1312102#LearnwithBrainly