Question

A box contains 3600 balls of red, blue, green, and
black colours in the ratio 3:4:5:6. Find number
and percentage of balls of each of the four colours in
the box.
full explanation​

Answer 1

hi buddy

here is your answer

• so we have to find the number of balls

as well as the percentage of those balls

• so what are the balls?

1. red
2. blue
3. green
4. black

• so now we get into the problem

let take ratio in variable form , it looks like

• let 3x , 4x ,5x and 6x be the red , blue , green , black ball

• =3x+4x+5x+6x=3600

• 18x=3600
• x=3600/18
• x=200

• so now got the value of x =200
• now lets substitute it and find the number of balls

• red balls = 3×200=600
• blue balls=4×200=800
• green balls=5×200=1000
• black balls=6×200=1200

so now we found the numbers of balls right

time to find the percentage of them

• red=600/3600×100 =16.667%
• blue=800/3600×100=22.222%
• green=1000/3600×100=27.777%
• black=1200/3600×100=33.33%

hope it helps

please mark me

#thango❤

Answer 2

Answer:

Given,

A box contains 3600 balls of red, blue, green, and

black colours

They are in the ratio 3:4:5:6.

Let the number of red balls be 3x

blue balls be 4x

greens balls be 5x

black balls be 6x

sum of all the balls = 3600

3x+4x+5x+6x=3600

18x=3600

x=3600/18

x=200

3x=600

4x=800

5x=1000

6x=1200

so the number of red,blue,green and black balls are 600,800,1000 and 1200

percentage of the balls

red balls= 600/3600×100=16.667

blue balls=800/3600×100=22.22

green balls=1000/3600×100=27.777

black balls=1200/3600×100=33.333

The percentage of red balls = 16.667 , the percentage of blue balls = 22.22, the percentage of green balls = 27.777 and the percentage of black balls = 33.333.

Step-by-step explanation:

hope it helps you dear friend