Answer:
The most that a meal can cost before tip = $43.47
Step-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
