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put this solution on YOUR website!My car gets 12 miles per gallon of gasoline. Gas is 4$/gallon.
If I buy a car that gets 16 miles per gallon at a cost of $500, how long or how many miles will it take me to pay for it with savings of gas cost?
:
Let x = no. of miles to recover $500
:
Cost to drive old car: 4(x/12)
Cost to drive new car: 4(x/16)
:
Old car cost - new car cost = $500
-
= 500
Cancel the 4's
-
= 500
Multiply equation by 12; gets rid of the denominator and you have
4x - 3x = 12(500)
;
x = 6000 mi to recover the $500 spent (Lose the $ sign)
:
:
Check solution:
4(6000/12) - 4(6000/16) =
2000 - 1500 = 500
