Note: Here tax rate is note given. Consider the tax is not applied.
Given:
Lin’s Father is paying for $50 meal.
Discount = 15%
To find:
The price of a discounted meal before the tax.
Solution:
Let x be the price of a discounted meal before the tax.
According to the question,
Price of meal after discount = Price of meal before discount - Discount
[tex]50=x-\dfrac{15}{100}\times x[/tex]
[tex]50=x-0.15x[/tex]
[tex]50=0.85x[/tex]
Divide both sides by 0.85.
[tex]\dfrac{50}{0.85}=x[/tex]
[tex]58.823529=x[/tex]
[tex]x\approx 58.824[/tex]
Therefore, the price of a discounted meal before the tax is $58.824.