# elimination and substitution word problem

• Oct 3rd 2008, 07:35 AM
mathdumby
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
• Oct 3rd 2008, 08:00 AM
mathdumby
I apologize for not following the proper forum edicate but this is an urgent matter. Please help :(
• Oct 3rd 2008, 08:04 AM
masters
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

*
• Oct 3rd 2008, 08:23 AM
mathdumby
thank you ! Much appreciated friend