Question

The ratio of the number of balls in Box A to the number of balls in Box B is 3:7. If
one-third of the balls in Box A is transferred to Box B. what is the new ratio of the number of balls in Box A to Box B?​

Answer 1

Step-by-step explanation:

Balls in box A:B =3:7

Now,one-third of balls of box A=1/3×3=1

Balls of box A=2

Balls of box B=8

New Ratio

A:B=2:8

A:B=1:4

Answer 2

Answer:

The new ratio of the number of balls in Box A to Box B =  1:4

Step-by-step explanation:

Given,

The ratio of the number of balls in Box A to the number of balls in Box B

= 3:7

One-third of the balls in Box A is transferred to Box B.

To find,

The new ration after transferring the balls.

Solution:

The ratio of the number of balls in Box A to the number of balls in Box B

= 3:7, we have

Number of balls in Box A = 3x

Number of balls in Box B = 7x

Since one-third of the balls in Box A is transferred to Box B,

Number of balls transferred = $\frac{1}{3}$ ×3x = x

After transferring,

The number of balls in Box A = 3x - x = 2x

The number of balls in Box B = 7x + x = 8x

Hence,

The new ratio of the number of balls = 2x: 8x = 2:8 = 1:4

Answer:

The new ratio of the number of balls in Box A to Box B =  1:4

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