<PRE><B>Question 544062</B>
A mechanic has 351 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. 
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He wants one mixture to be 6% oil and the other mixture to be 2.5% oil. 
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If he wants to use all of the gas and oil, how many gallons of gas and oil are in each of the resulting mixtures? 
I have tried putting it into two equations .06x+.025y=18 and .94x+.975y=351 and then using the substitution method to solve for x and y. Yet my answers only become true for the first equation
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.06x+.025y=18 
.94x+.975y=351
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I used a Matrix method on a TI-84 and got:
x = 250.71 gallons 
y = 118.29 gallons
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Cheers,
Stan H.
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