Question

The ratio of the length of rope A to the length of rope B is 3:4. The ratioof the length of rope C to the length of rope B is 7:6.If the length of the longest rope is 84cm. Find the total length of the three ropes?.

Answer 1

The total length of the three ropes 219 cm.

Step-by-step explanation:

The ratio of the length of rope A to the length of rope B is 3:4.

Let the ratio be 'x'.

So, length of rope A = 3x

Length of rope B = 4x

The ratio of the length of rope C to the length of rope B is 7:6.

Let the ratio be 'y'.

So, length of rope B = 7y

Length of rope C = 6y

We can seen that B is the longest rope, because it is having the maximum value in both the ratio.

So, $4x = 7y = 84$cm.

i.e. $4x = 84$ cm.

$x = 21$cm

and$7y = 84$

$y = 12$ cm

Length of Rope A = $3x = 3 \times 21 = 63$ cm.

Length of Rope C = $6y = 6\times 12 = 72$ cm.

Length of Rope B = 84 cm.

Total length = 63+72+84=219 cm.

Therefore, the total length of the three ropes 219 cm.

#Learn more

The ratio of the length of rope A to the length of rope B is 3:4.The ratio of the length of rope C to the length of rope B is 7:6. the length of the longest rope is 84 cm then find the total length of the three ropes.

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