Kristin wants to spend no more than $50 for a birthday dinner at a restaurant, including a 15% tip. What is the most that the meal can cost before tip

Answer:The most that a meal can cost before tip = $43.47Step-by-step explanation:Kristin's maximum budget for a birthday dinner = $50 inclusive of 15% tip.Let the cost of meal that Kristin orders in dollars be [tex]=x[/tex]15% of the cost of meal is tip which would be in dollars = 15% of [tex]x=0.15\ x[/tex]So total cost of dinner would be [tex]=x+0.15x[/tex]We know that the total should be no more that $50. So, we have[tex]x+0.15x\leq50[/tex]⇒ [tex]1.15x\leq50[/tex]Dividing both sides by 1.15.⇒ [tex]\frac{1.15x}{1.15}\leq\frac{50}{1.15}[/tex]∴ [tex]x\leq43.47[/tex]So, the most that a meal can cost before tip = $43.47