An automobile dealer had 250 vehicles on his lot during the month of June. He must pay a monthly
inventory tax of $3 per car and $4 per truck. If his tax bill in June was $850, then find the number of cars
and the number of trucks he had on his lot in June.

Question

An automobile dealer had 250 vehicles on his lot during the month of June. He must pay a monthly 
inventory tax of $3 per car and $4 per truck. If his tax bill in June was $850, then find the number of cars 
and the number of trucks he had on his lot in June.

texaschic101 · Answer

c + t = 250 ----> c = 250 - t
now sub 250 - t in for c in the other equation
3c + 4t = 850
3(250 - t) + 4t = 850 -- distribute
750 - 3t + 4t = 850 -- subtract 750
-3t + 4t = 850 - 750 -- combine like terms
t = 100
now sub 100 in for t in either equation to find c
c + t = 250
c + 100 = 250
c = 250 - 100
c = 150

check..
3c + 4t = 850
3(150) + 4(100) = 850
450 + 400 = 850
850 = 850 (correct)

there are 150 cars (c) and there are 100 trucks (t)

any questions ?

anonymous · Answer

i think that pretty much explains my question thank you i always have trouble with setting my problem up but this was really easy to understand