Diane has 1/2 gallon of frozen yogurt and some bowls. She puts an equal amount of frozen yogurt into each bowl. For each given number of bowls, how much frozen yogurt will she put in each bowl? 2 bowls, 3 bowls, 4 bowls, 5 bowls, 6 bowls

Respuesta :

Answer:

1/4 gallon, 1/6 gallon, 1/8 gallon, 1/10 gallon, 1/12, gallon

Step-by-step explanation:

You just take 1/2 and divide it my number of bowls

for 2 bowls: 1/2 Divided by 2

= 1/2 * 1/2 = 1/4 gallon per bowl, same with other bowls

Amount of yogurt in each bowl is [tex]\frac{1}{4},\frac{1}{6},\frac{1}{8},\frac{1}{10},\frac{1}{12}[/tex] gallons respectively.

Property of division:

  • Division property defines the distribution of a big amount in the smaller equal amounts.

Given in question,

  • Total amount of frozen yogurt = [tex]\frac{1}{2}[/tex] gallons
  • Given number of bowls = 2, 3, 4, 5 and 6

Expression used to calculate the amount of frozen yogurt in each bowl,

Amount of yogurt in each bowl = [tex]\frac{\text{Total amount of yogurt}}{\text{Number of bowls}}[/tex]

If Number of bowls = 2

Amount of yogurt in each bowl = [tex]\frac{\frac{1}{2} }{2}[/tex] = [tex]\frac{1}{4}[/tex] gallons

If the number of bowls = 3

Amount of yogurt in each bowl = [tex]\frac{\frac{1}{2} }{3}[/tex] = [tex]\frac{1}{6}[/tex] gallons

If the number of bowls = 4

Amount of yogurt in each bowl = [tex]\frac{\frac{1}{2} }{4}[/tex] = [tex]\frac{1}{8}[/tex] gallons

If the number of bowls = 5

Amount of yogurt in each bowl = [tex]\frac{\frac{1}{2} }{5}[/tex] = [tex]\frac{1}{10}[/tex] gallons

If the number of bowls = 6

Amount of yogurt in each bowl = [tex]\frac{\frac{1}{2} }{6}=\frac{1}{12}[/tex] gallons

       Hence, amount of yogurt in each bowl is [tex]\frac{1}{4},\frac{1}{6},\frac{1}{8},\frac{1}{10},\frac{1}{12}[/tex] gallons respectively.

Learn more about the property of division here,

https://brainly.com/question/14047371?referrer=searchResults