+422 On Monday, I worked t-6 hours and earned 2t-5 dollars per hour. My friend Andrew worked 2t-8 hours but only earned t-5 dollars an hour. As it turns out, we earned the same amount. What is the value of t?
I thought of subtracting the two equations but it got no where for me! What do i do?
+23246 Amount earned = hours x dollars per hour.
You: (t - 6)(2t - 5) = 2t2 - 17t + 30
Andrew: (2t - 8)(t - 5) = 2t2 - 18t + 40
Since the two of you earned the same amount, set these equations equal to each other:
2t2 - 17t + 30 = 2t2 - 18t + 40
Subtract 2t2 from both sides: -17t + 30 = -18t + 40
and, continue solving ...
