Question 288280
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Maple syrup worth $6.00 a gallon and corn syrup worth .80 {{{highlight(cross(cents))}}} <U>dollars</U> a gallon 
are used to make a mixture worth $2.36 a gallon. 
How many gallons of each kind of syrup are need to make 50 gallons of the mixture?
{maple syrup: gallons, corn syrup: gallons}
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;There was an obvious typo in the post - I fixed it to make the problem as accurate as it should be.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @mananth has arithmetic error on the way, which leads to wrong answer.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct/accurate solution.



let quantity of maple syrup used be x gallons
corn syrup used will be 50-x gallons
6*x + 0.8*(50-x) = 2.36*50
6x + 40 - 0.8x = 118.00
5.2x = 118-40
5.2x = 78
x = 78/5.2
x = 15 gallons of  the maple syrup
35 gallons will be the corn syrup.


<U>CHECK</U> &nbsp;&nbsp;for the unit price of the final mixture:  &nbsp;&nbsp;{{{(6*15 + 0.8*35)/50}}} = 2.36 dollars per gallon. &nbsp;&nbsp;&nbsp;&nbsp;! Precisely correct !


Solved correctly.