Question

A box contains 3600 balls of red blue and green and black in the ratio of 3 4 5 6 find number and percentage of balls of each of the four colour in the box​

Answer 1

Answer:

red=16.66

blue=22.22

green=27.77

black=33.33

Step-by-step explanation:

Answer 2

Thus, the number of red balls = 600 , the number of blue balls = 800,

the number of green balls = 1000 and the number of black balls = 1200.

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:

Let 3x, 4x, 5x and  6x be the number of red, blue, green and black balls.

To find, the number of red, blue, green and black balls = ?

the percentage of red, blue, green and black balls = ?

According to question,

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

⇒ 18x = 3600

⇒ x = $\dfrac{3600}{18}$ = 200

∴ The number of red balls = 3 × 200 = 600,

The number of blue balls = 4 × 200 = 800,

The number of green balls = 5 × 200 = 1000 and

The number of black balls = 6 × 200 = 1200

∴ The percentage of red balls = $\dfrac{600}{3600} \times 100$

= $\dfrac{100}{6}$ = 16.667 %

The percentage of blue balls = $\dfrac{800}{3600} \times 100$

= $\dfrac{200}{9}$ = 22.222 %

The percentage of green balls = $\dfrac{1000}{3600} \times 100$

= $\dfrac{1000}{36}$ = 27.777 %

The percentage of black balls = $\dfrac{1200}{3600} \times 100$

= $\dfrac{100}{3}$ = 33.33 %

Thus, the number of red balls = 600 , the number of blue balls = 800,

the number of green balls = 1000 and the number of black balls = 1200.

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.