Question 1186459
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How much coffee costing P40 per kilo must be added to 150 kilos costing P48 per kilo to make a mixture costing P45 per kilo?
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x = kilograms to add.


Money equation


    40*x + 48*150 = 45*(150+x)


From the equation


    40x + 48*150 = 45*150 + 45x

    48*150 - 45*150 = 45x - 40x

    (48 - 45)*150   =    5x

       3*150        =    5x

         x          = {{{(3*150)/5}}} = 3*30 = 90.


<U>ANSWER</U>.  90 kilograms to add.


<U>CHECK</U>.   Ingredients cost  40*90 + 48*150 = 10800.

         Mixture     cost  45*(150+90) = 10800,  the same amount of money.   ! Correct !
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Solved.