Respuesta :

There are 28 kids in the class

Step-by-step explanation:

If an object is divided into different part, then

  • The total of all parts is 1
  • To find a missing part subtract the sum of the other parts from 1

∵ Half of the class likes chips

- Have means [tex]\frac{1}{2}[/tex]

- Assume that the number of kids in the class is x

∴ The number of kids likes the chips =  [tex]\frac{1}{2}[/tex] × x =  

∵ 4th of the class likes pennies

- 4th means [tex]\frac{1}{4}[/tex]

∴ The number of kids likes pennies =  [tex]\frac{1}{4}[/tex] x

∵ The rest of the class want waterfront

- Find the rest of the class in terms of x by subtracting the sum

  of the two given fractions from the number of kids

∴ The number of kids left = [tex]x-(\frac{1}{2}x+\frac{1}{4}x)[/tex]

∵ [tex]\frac{1}{2}x+\frac{1}{4}x=\frac{3}{4}x[/tex]

∴ The number of kids left = [tex]x-\frac{3}{4}x[/tex]

∴ The number of kids left =  [tex]\frac{1}{4}[/tex] x

∵ 7 kids left

- Equate  [tex]\frac{1}{4}[/tex] x  by 7 and find x

∴  [tex]\frac{1}{4}[/tex] x = 7

Multiply both sides by 4

∴ x = 28

There are 28 kids in the class

Learn more:

You can learn more about the fractions in brainly.com/question/1312102

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Universidad de Mexico