Ask Question
22 December, 04:16

At first the ratio of the number of boys to the number of girls in a Mathematics Club was I : 2 when 5 more boys joined the club, the ratio became 3 : 4 How many members were there in the club at first?

+4
Answers (1)
  1. 22 December, 04:41
    0
    X=number of boys in the club at first

    y=number of girls in the club at first.

    (x+y) = members were in the club at first.

    We can suggest the next system of equation.

    x/y=1/2 ⇒ x=y/2

    (x+5) / y=3/4 ⇒4 (x+5) = 3y

    Finally, we have the next system of equations:

    x=y/2

    4 (x+5) = 3y

    We are going to solve by substitution method.

    4 (y/2 + 5) = 3y

    2y+20=3y

    2y-3y=-20

    -y=-20

    y=20

    x=y/2

    x=20/2

    x=10

    (x+y) = 10+20=30

    Answer: There were 30 members int the club at first, they were 10 boys and 20 girls.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “At first the ratio of the number of boys to the number of girls in a Mathematics Club was I : 2 when 5 more boys joined the club, the ratio ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers