The price of the meal before tax and tips = $11.92
8% tax will be
[tex]\frac{8}{100}\times11.92=\frac{95.36}{100}=0.9536[/tex]15% tips to the total will be
[tex]\frac{15}{100}\times12.8736=\frac{193.104}{100}=1.93104[/tex]Amount she paid for the meal is
[tex]11.92+0.9536+1.93104=\text{ \$}14.80464\approx\text{ \$14.80}[/tex]