12000 is divided into two parts. Sum of 30% of the first part and 50% of the second part gives you 5000. Find the two parts.

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12000 is divided into two parts. Sum of 30% of the first part and 50% of the second part gives you 5000. Find the two parts.
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  1. Answer:

    5000 and 7000

    Step-by-step explanation:

    Let 12000 be divided in to ‘x’ and ‘y’ parts

    x + y=12000 . . . . .(1)

    According to question

    30/100(x)+50/100(y)=5000

    3x/10+5y/10=5000

    3x+5y=50000 . . . ..(2)

    Multiply eqn (1) by 3

    3x+3y=36000 . . .. . .(3)

    (2)-(3)

    3x+5y-3x-3y=14000

    2y=14000

    y=7000 . . . . put in (1)

    x=5000

    So Number should be divided in to 5000 and 7000

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