Question 1140371
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From the condition, you have these two equations


    6x + 2y = 24      (1)

    3x + 5y = 21      (2)


where x is the price for 1 pound of jelly beans and y is the price for 1 pound of trail mix.


In equation (1), divide both sides by 2.  Keep equation (2) as is.


    3x +  y = 12      (1')

    3x + 5y = 21      (2')


Now subtract equation (1') from equation (2'). You will get


         5y - y = 21 - 9

         4y     =  12

          y     =  12/4 = 3.


So, 3 dollars is the price for 1 pound of trail mix.


To find x, substitute y= 2 into equation (2). You will get


    3x + 5*3 = 21,   or   3x = 21 - 15 = 6  ====>  y = 6/3 = 2.


<U>ANSWER</U>.  $2 for one pound of jelly beans  and  $3 for one pound of trail mix.
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Solved.


On the way, I applied the Elimination method to solve the system of 2 equations in 2 unknowns,
so now you know how it works.