SOLUTION: Suppose a gas tank for a car holds 12 gallons, and that the car uses 1/20 of a gallon per mile. Let X be the number of miles the car has gone since the tank was last filled. A)

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Suppose a gas tank for a car holds 12 gallons, and that the car uses 1/20 of a gallon per mile. Let X be the number of miles the car has gone since the tank was last filled. A)      Log On

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Question 490150: Suppose a gas tank for a car holds 12 gallons, and that the car uses 1/20 of a gallon per mile. Let X be the number of miles the car has gone since the tank was last filled.
A) Write an expression for the number of gallons left after "X" miles
B) How many gallons are left after 100 miles
C) Write an equation stating that 5 gallons are left , then solve it to find out how far the car has gone when 5 gallons remain.
D) How far has the car gone when it runs out of gas?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
++12+-+%281%2F20%29%2Ax+
(b)
+12+-+%281%2F20%29%2A100+=+7+
(c)
+5+=+12+-+%281%2F20%29%2Ax+
+100+=+240+-+x+
+x+=+240+-+100+
+x+=+140+
The car has gone 140 mi
(d)
+0+=+12+-+%281%2F20%29%2Ax+
+%281%2F20%29%2Ax+=+12+
+x+=+240+
The car has gone 240 mi