SOLUTION: Write an expression that represents the total amount of gasoline used. A family has a hybrid car that gets 40 miles per galloon and a truck ath gets 17 mpg. They drive 500 miles

Algebra ->  Linear-equations -> SOLUTION: Write an expression that represents the total amount of gasoline used. A family has a hybrid car that gets 40 miles per galloon and a truck ath gets 17 mpg. They drive 500 miles       Log On


   



Question 1154720: Write an expression that represents the total amount of gasoline used. A family has a hybrid car that gets 40 miles per galloon and a truck ath gets 17 mpg. They drive 500 miles per week using both vehicles but dont want to use more than 20 galloons of gas.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance/wk driven with hybrid
+500+-+d+ = distance driven with truck
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+d+%2F+40+%2B+%28+500+-+d+%29+%2F+17+%3C=+20+ answer
solve:
Multiply both sides by +40%2A17+
+17d+%2B+40%2A%28+500+-+d+%29+%3C=+40%2A17%2A20+
+17d+%2B+20000+-+40d+%3C=+13600+
+23d+%3E=+6400+
+d+%3E=+278.26+
and
+500+-+d+%3C=+221.74+
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check:
+d+%2F+40+%2B+%28+500+-+d+%29+%2F+17+%3C=+20+
+278.26+%2F+40+%2B+221.74%2F+17+%3C=+20+
+6.96+%2B+13.04+%3C=+20+
+20+%3C=+20+
OK