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October 3rd, 2008, 09:35 AM
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| | elimination and substitution word problem Hi guys , i am in grade 10 gifted math and am doing a series of word problems that involve elimination and substitution. I am good at math , but am still a bit ESL , so am having trouble decoding the first 2 equations that i am supposed to have.
The question is : A car averages 8.5L/100km in city driving and 6.3L/100km on the highway. In 720km of driving , it used 55.7L of fuel.
a)How far was the car driven in the city?
b)How much fuel did it use in city driving?
From what i read i figured that i would let the distance driven in the city be c km , and the distance driven in the highway be h km
The first equation in my opinion should be
c+h=720
I am unsure however on what the second equation should be.
I tried 8.5c+6.3H=720(55.7)
and my end-result of c , was over 1900. Obviously i made a mistake there x(.
i was thinking of doing it as 8.5c/100+ 6.3h/100= 720(55.7)/100 but this would simply give me the same wrong answer.
Any help would be much appreciated | 
October 3rd, 2008, 10:00 AM
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| | I apologize for not following the proper forum edicate but this is an urgent matter. Please help | 
October 3rd, 2008, 10:04 AM
|  | He's dead, Jim | | Join Date: Jan 2008 Location: Big Stone Gap, Virginia
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| | Quote:
Originally Posted by mathdumby Hi guys , i am in grade 10 gifted math and am doing a series of word problems that involve elimination and substitution. I am good at math , but am still a bit ESL , so am having trouble decoding the first 2 equations that i am supposed to have.
The question is : A car averages 8.5L/100km in city driving and 6.3L/100km on the highway. In 720km of driving , it used 55.7L of fuel.
a)How far was the car driven in the city?
b)How much fuel did it use in city driving?
From what i read i figured that i would let the distance driven in the city be c km , and the distance driven in the highway be h km
The first equation in my opinion should be
c+h=720
I am unsure however on what the second equation should be. 8.5 L/100 kg = .085 L/kg 6.3 L/100 kg = .063 L/kg
I tried 8.5c+6.3H=720(55.7) ===>.085c + .063h = 55.7
and my end-result of c , was over 1900. Obviously i made a mistake there x(.
i was thinking of doing it as 8.5c/100+ 6.3h/100= 720(55.7)/100 but this would simply give me the same wrong answer.
Any help would be much appreciated | *
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October 3rd, 2008, 10:23 AM
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