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
![50=x-(15)/(100)* x](https://img.qammunity.org/2021/formulas/mathematics/college/dwtcatv82s0ewgczemq8b3n66hnxiiy6r3.png)
![50=x-0.15x](https://img.qammunity.org/2021/formulas/mathematics/college/swl817nja9d6iwvbas5wtsnkyt7i6gx6sl.png)
![50=0.85x](https://img.qammunity.org/2021/formulas/mathematics/college/whil9pgrw4kj9pj41rco63de9s4c03t63j.png)
Divide both sides by 0.85.
![(50)/(0.85)=x](https://img.qammunity.org/2021/formulas/mathematics/college/ocfpfu6sctdlf6hks9dnch86b5ig5ythzj.png)
![58.823529=x](https://img.qammunity.org/2021/formulas/mathematics/college/kpneatofg5az9vnt5kfz6wll9l2uwk0l74.png)
![x\approx 58.824](https://img.qammunity.org/2021/formulas/mathematics/college/fptqpsql11ht44cfzqy738xqcllcgy68tr.png)
Therefore, the price of a discounted meal before the tax is $58.824.