Question

There are some coloured balls in a bag in the ratio 4:9: 7. If the bag contains 1000 balls, find the number of balls of each type.​

Answer 1

Answer:

$let \: number \: of \: ball \: be \: x \: \\ according \: to \: question \: \\ 4x + 9x + 7x \: = 1000 \\ 20x = 1000 \\ x = \frac{1000}{20} = 50 \\ 4x = 4 \times 50 = 200 \\ 9x = 9 \times 50 = 450 \\ 7x = 7 \times 50 = 350$

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Answer 2

The number of balls of each type is 200, 450, and 350.

Given:

Total balls=1,000

The ratio of coloured balls=4:9:7

To find:

The number of balls of each type

Solution:

We know that the ratio of different coloured balls is 4:9:7.

We will multiply the ratio with the total balls to obtain the required number.

The number of balls of type 1=4/20 of the total balls

=4/20 of 1,000

=1/5×1000=200 balls

The number of balls of type 2=9/20 of the total balls

=9/20 of 1,000

=9×50=450 balls

The number of balls of type 3=7/20 of the total balls

=7/20 of 1,000

=7×50=350 balls

Therefore, the number of balls of each type is 200, 450, and 350.