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