Respuesta :

The number is 275

Step-by-step explanation:

To solve a simple equation of one variable

  • Write the equation and separate the variable in one side and the numerical term in the other side
  • Divide the two sides by the coefficient of the variable to find its value

∵ Four fiftieths means [tex]\frac{4}{50}[/tex]

- Assume that the number is x

∴ Four fiftieths of a number = [tex]\frac{4}{50}[/tex] x

- Equate it by 22

∴ Four fiftieths of a number equals 22 means [tex]\frac{4}{50}[/tex] x = 22

Now let us solve the equation

∵ [tex]\frac{4}{50}[/tex] x = 22

- Multiply both sides by 50

∴ 4 x = 1100

- Divide both sides by 4

∴ x = 275

∴ The number is 275

To check the answer multiply four fiftieths by the number the answer

must be 22

∵ [tex]\frac{4}{50}[/tex] × 275 = [tex]\frac{1100}{50}[/tex]

- Divide up and down by 50

∴ [tex]\frac{1100}{50}[/tex] = 22 ⇒ same answer

The number is 275

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/1617787

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