Yolanda gave 20% of her daily V
salary to taxes. She then put 10%
of her remaining salary into her
savings. If she is left with exactly
$162, what is Yolanda's daily salary?

Respuesta :

Yolanda's daily salary is $225

Step-by-step explanation:

The given is:

  • Yolanda gave 20% of her daily salary to taxes
  • She then put 10%  of her remaining salary into her savings
  • She is left with exactly $162

We need to find Yolanda's daily salary

Assume that Yolanda's daily salary is $x

∵ Yolanda gave 20% of her daily salary to taxes

∵ Yolanda's daily salary is $x

∴ The taxes = 20% × x

∵ 20% = [tex]\frac{20}{100}[/tex] = 0.2

∴ The taxes = 0.2 × x = 0.2 x

∴ The remaining of her salary = x - 0.2 x = 0.8 x

∵ She put 10%  of her remaining salary into her  savings

∴ The money in her saving = 10% × 0.8 x

∵ 10% = [tex]\frac{10}{100}[/tex] = 0.1

∴ The money in her saving = 0.1 × 0.8 x = 0.08 x

∴ The remaining of her salary = 0.8 x - 0.08 x = 0.72 x

∵ She is left with exactly $162

∴ The remaining of her salary = $162

∵ The remaining of her salary = 0.72 x

- Equate her remaining salary

∴ 0.72 x = 162

- Divide both sides by 0.72

∴ x = 225

Yolanda's daily salary is $225

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