SOLUTION: Hello, I would like some help with this problem, On a recent trip, George traveled 300 miles.The number of miles of highway driving was 4 times the number of miles of city driv

Algebra ->  Test -> SOLUTION: Hello, I would like some help with this problem, On a recent trip, George traveled 300 miles.The number of miles of highway driving was 4 times the number of miles of city driv      Log On


   



Question 619550: Hello, I would like some help with this problem,
On a recent trip, George traveled 300 miles.The number of miles of highway driving was 4 times the number of miles of city driving. If his car gets 20 miles to the gallon in city driving,and 30 miles to the gallon on the highway,how much gas did he use?
Thank you.

Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
On a recent trip, George traveled 300 miles.
The number of miles of highway driving was 4 times the number of miles of city driving.
If his car gets 20 miles to the gallon in city driving,and 30 miles to the gallon on the highway,
how much gas did he use?
:
Let c = no. of city miles
then
4c = no. of highway miles
:
Find the number of city miles
c + 4c = 300
5c = 300
c = 300/5
c = 60 city miles
and
4(60) = 240 highway miles
:
Find the amt of gas (g)
g = 60%2F20 + 240%2F30
g = 3 + 8
g = 11 gallons of gas

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of city miles driven
+4n+ = the number of highway miles driven
+n+%2B+4n+=+300+
+5n+=+300+
+n+=+60+
+4n+=+240+
------------
In the city:
+60+%2F+20+=+3+ gallons
On the highway:
+240+%2F+30+=+8+ gallons
He used +3+%2B+8+=+11+ gallons