Q:

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

Accepted Solution

A:
Yolanda's daily salary is $225Step-by-step explanation:The given is:Yolanda gave 20% of her daily salary to taxesShe then put 10%  of her remaining salary into her savingsShe is left with exactly $162We need to find Yolanda's daily salaryAssume 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 = 225Yolanda's daily salary is $225Learn more:You can learn more about percentage in brainly.com/question/1834017#LearnwithBrainly