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Quart-Gallon Question [#permalink]
24 Dec 2007, 17:13
Here is a question which can become trickier depending upon your interpretation:
At Larry's Auto Supply Store, Brand X antifreeze is sold by the gallon and Brand Y motor oil is sold by the quart. Excluding sales tax, what is the total cost for 1 gallon of Brand X antifreeze and 1 quart of Brand Y motor oil?
(1). Excluding sales tax, the total cost for 6 gallons of Brand X antifreeze and 10 quarts of Brand Y motor oil is 58. (There is no quantity discount.)
(2). Excluding sales tax, the total cost for 4 gallons of Brand X antifreeze and 12 quarts of Brand Y motor oil is 44. (There is no quantity discount.)
Each statement on it's own leaves itself open to an almost infinite number of possible prices for X and Y. Only by combining them do we get our 2 equations for 2 variables. Normally you would want to answer C and move on, but we can do the math here to show it.
plug it back in
plug that back in
so now plug 1 and 8 in to make sure they work
58=58 checks out
44=44 checks out
and there's your answer. 1 gallon of X and 1 quart of Y = $9
you don't need to convert quarts to gallons for this question, because the base/unit prices of the liquids are not the same. Just think of buying tables and chairs, you don't pay for them per volume of wood.