Question

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

Answer 1

Answer ⇒  ∴ length of Rope A = 3x = 3 × 21 = 63 cm.

∴ length of Rope C = 6y = 6 × 12 = 72 cm.

∴ length of Rope B = 84 cm.

___________________________

Step-by-step explanation ⇒ Let the length of Rope A and Rope B be 3x and 4x.

Also, let the length of the Rope B and Rope C be 7y and 6y.

Now, It can easily be seen that B is the longest rope, because it is having the maximum value in bot the ratio.

∴ 4x = 7y = 84 cm.

∴ 4x = 84 cm.

∴ x = 21 cm.

similarly,

7y = 84

∴ y = 12 cm.

∴ length of Rope A = 3x = 3 × 21 = 63 cm.

∴ length of Rope C = 6y = 6 × 12 = 72 cm.

∴ length of Rope B = 84 cm.

Hope it helps.

Answer 2

hope it will help uh ...
nd plz mark as brainliest ...