SOLUTION: Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles over the first three races, how far did it travel

Question 107900: Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles over the first three races, how far did it travel during the third race?
Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let d equal the distance Ruth's car traveled during the third race.
To find the average distance traveled during the three races (123 miles), we add the miles and divide by 3, so...
Simplify and solve for d.
Multiply both sides by 3.
Now subtract 244 from both sides.
miles.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles over the first three races, how far did it travel during the third race?
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The average of three numbers is the sum of the numbers divided by three.
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Let distance on the third race be "x" miles.
EQUATION:
(120+124+x)/3 = 123
244+x = 369
x = 125 miles
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Cheers,
Stan H.
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