Question

1/3rd part of the bamboo is coloured red and 1/5 th part of it is coloured green and remaining 14 m is coloured yellow. Find the length of bamboo.​

Answer 1

Answer:

30m

Step-by-step explanation:

1. Understand the problem.

1/5th of total bamboo length plus 1/3rd of total bamboo length plus 14 m equals the total bamboo length.

2. Write the equasion.

(1/5)x + (1/3)x + 14 = x

3. Get a common denominator so you can combine your terms.

    a. Multiply the term (1/5)x by (3/3)

         (1/5)x*(3/3) = (3/15)x

    b. Multiply the term (1/3)x by (5/5)

         (1/3)x*(5/5) = (5/15)x

(3/15)x + (5/15)x + 14 = x

4.Add and combine terms.

(8/15)x +14 = x

5. Subtract (8/15)x from both sides.

14 = x-(8/15)x

6. Subtract.

14=(7/15)x

7. Eliminate the denominator by multiplying both sides by 15.

210 = 7x

8. Isolate the variable by dividing both sides by 7.

30=x

9. Answer

Total length of the bamboo is 30m.