Jerry has a large car which holds 222222 gallons of fuel and gets 202020 miles per gallon. kate has a smaller car which holds 16.516.516, point, 5 gallons of fuel and gets 303030 miles per gallon. if both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same? choose 1 320320

We are going to define the following linear functions:
 g1 = - (1/20) * d + 22
 g2 = - (1/30) * d + 16.5
 where:
 g1: amount of fuel remaining in car 1
 g2: amount of fuel remaining in car 2
 d: distance traveled
 So we have g1 = g2
 - (1/20) * d + 22 = - (1/30) * d + 16.5
 We cleared d:
 d (- (1/20) + (1/30)) = 16.5 - 22
 d = (16.5 - 22) / (- (1/20) + (1/30))
 d = 330 miles
 
 The remaining fuel in each tank will be the same in:
 d = 330 miles