The ratio of boys to girls in a party is 3:5 if 6 more boys arrive And 4 girls left the party the ratio of boys to girls would be 5:6.how many are in the party originally
Answers
let number of boys and girls be 3x and 5x respectively
on arrival of six boys number of boys becomes 3x +6
remaining girls after 4 left = 5x -4
given that (3x + 6) / (5x -4 ) = 5/6
⇒ 6(3x + 6) = 5(5x -4)
⇒ 18x + 36 = 25x -20
⇒18x -25x = -20-36
⇒ -7x = -56
⇒ x = 56/7 = 8
original number of boys in party = 3x = 3 × 8 = 24
original number of girls in party = 5x = 5 × 8 = 40.
Hence number of boys = 24 , number of girls = 40 , and total number in party is 64.
Big Party . Enjoy.
Answer:
Step-by-step explanation:
let number of boys and girls be 3x and 5x respectively
on arrival of six boys number of boys becomes 3x +6
remaining girls after 4 left = 5x -4
given that (3x + 6) / (5x -4 ) = 5/6
⇒ 6(3x + 6) = 5(5x -4)
⇒ 18x + 36 = 25x -20
⇒18x -25x = -20-36
⇒ -7x = -56
⇒ x = 56/7 = 8
original number of boys in party = 3x = 3 × 8 = 24
original number of girls in party = 5x = 5 × 8 = 40