You are ordering a meal and have $15 to spend on. The restaurant charges 6% sales tax and you plan to leave a 15% tip. The equation c= x+0.06x+0.15x gives the total cost c of your meal, where x is the cost before tax and tip. What is the maximum amount you can spend before tax and tip?
just solve the equation, x + 0.15x + 0.06x = 15
1.21x = 15,
x = $12.39 (nearly)
The maximum amount you can spend before tax and tip is:
$ 12.397
x represents the cost before tax and tip.
Also, we have a total of $ 15 to spend on.
The equation which represents the total cost of our meal is given by:
c= x+0.06x+0.15x
This means that:
\(c\leq 15\\\\i.e.\\\\x+0.06x+0.15x\leq 15\\\\1.21x\leq 15\\\\x\leq \dfrac{15}{1.21}\\\\x\leq 12.397\)
The answer is: $ 12.397