car 1 uses 35mpg, car 2 uses 20mpg. in 1 week cars traveled combined total of 1125 mls. using 45 gallons of gas. How many gallons for car 1? car 2?
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I am going to use two equations. One will be for the amount of miles car 1 and car 2 go and the other will be for the amount of gas they use.
35x+20y=1125 where x=gallons car 1 uses and y=gallons car 2 uses.
Gallons of gas equation:
x+y=45 where x and y are the same as in the Miles equation.
x=45-y I just rearranged the equation above and will substitute it into the Miles equation.
1575-35y+20y=1125 I distributed the 35 across the parantheses.
1575-15y=1125 I combined like terms. Now subtract 1575 from both sides.
-15y=-450 Divide both sides by -15
car 1 uses 15 gallons and car 2 uses 30 gallons.
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