In a class the number of boys and girls in the ratio 4:5. If 10 more boy’s added in the same class the ratio of number of boys and girls bec

Question

In a class the number of boys and girls in the ratio 4:5. If 10 more boy’s added in the same class the ratio of number of boys and girls become 6:5. How many girls are there in a class. Explain in step by step procedure. Please urgent. Please help me to solve anyone in detail.

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Eliza 1 month 2021-08-12T12:09:06+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-12T12:10:18+00:00

    Step-by-step explanation:

    boys =x, x/y=4/5

    x+10/y=6/5

    5x-4y=0

    5x+50-6y=0

    -2y+50=0

    -2y=-50

    y=25,y means girls

    5x-4*25=0

    x=20

    0
    2021-08-12T12:11:04+00:00

    Hey Buddy

    Here’s the Answer

    => Let boys be ( x ) and girls ( y )

    Given : Ratio of boys and girl is 4 : 5

    => x/y = 4/5

    => 5x = 4y

    => x = 4y/5______( 1 )

    Given : If 10 boys added, Ratio becomes 6 : 5

    => ( x + 10 )/y = 6/5

    => 5( x + 10 ) = 6y

    => 5x 6y + 50 = 0

    => 5x 6y + 50 = 0

    => 5x – 6y = 50___________( 2 )

    By putting value of x in eq( 2 )

    => 5x – 6y = – 50

    => 5( 4y/5 ) – 6y = – 50

    => 4y 6y = 50

    => 2y = 50

    => y = 25

    Now by finding x by putting value of y in eq ( 1 )

    => x = 4y/5

    => x = 4 × 25/ 5

    => x = 4 × 5

    => x = 20

    So, There are 20 boys and 25 girls

    Hope it Helps

    :)

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