Answer: $166.67
Explanation:
4(t + 25) = 4(t + 50) - 4(0.15t)
Step 1: Simplify the equation given.
4(t + 25) = 4(t + 50) - 4(-0.15t)
4t + 100 = 4t + 200 - 0.6t
4t + 100 = 3.4t + 200
Step 2: Move all the variables to one side.
4t + 100 = 3.4t + 200
-3.4t -3.4t
0.6t + 100 = 200
Step 3: Solve the equation for t.
0.6t + 100 = 200
- 100 -100
0.6t = 100
100 ÷ 0.6 = 166.6667 = t
Step 4: Since we are talking about money round the answer to the nearest hundredth.
166.6667 → 166. 67
The ticket price $166.67 will have the same total cost for both airlines.