1 \ 8 part of a bamboo is in the mud, 3/5 in the water and the remaining c / 2 feet above the water. How much is the length of the bamboo
Answers
Answer:
1 \ 8 part of a bamboo is in the mud, 3/5 in the water and the remaining c / 2 feet above the water.
The length of the bamboo is 20c/11 feet.
Step-by-step explanation:
The bamboo's 1/8 length is in the mud and 3/5 of its length is in the water. The rest of the fraction is above the water which is given as c/2 feet.
Therefore find total fraction of the bamboo that is in the mud and in the water:
1/8 + 3/5 = ( 5 + 24) / 40 = 29/40
Therefore 29/40 is the length of the bamboo that is the water and in the mud. Find the fraction that is above the water ( the rest of the bamboo)
The fraction above the water:
40/40 - 29/40 = 11/40
Therefore 11/40 is the fraction of the bamboo that is above the water. This fraction is equal to the length of the bamboo given as c/2 feet
∴ 11/40 = c/2
If 11/40 = c/2
Then 40/40 ( the length of the bamboo) = c/2 × 40/40 × 40/11
= 40c/22
= 20c/11 feet
Therefore the length of the bamboo in terms of c is 20c/11 feet.