A rope 1m 17cm long cut into two piece ratio of 6:7 find length of each piece
Answers
Step-by-step explanation:
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Answer:
The length of the pieces with the ratio of 6:7 is 54 cm and 63 cm respectively.
Step-by-step explanation:
The given:
The length of the rope = 1 m + 17 cm = 100 cm + 17 cm
= 117 cm
Ratio of the two pieces of rope = 6:7
To find out:
The length of two pieces.
Solution:
Let P1 and P2 be the two pieces. That is P1:P2 = 6:7.
From the given, P1 is 6 parts and P2 is 7 parts. Then the total parts are given as,
P1 + P2 = 6 + 7 = 13
This means that the total 13 parts are equal to the length 117cm. Therefore, the length of one part = 117 ÷ 13
= 9
Hence the length of P1 = 6 × 9 = 54 cm
the length of P2 = 7 × 9 = 63 cm
The length of the pieces with the ratio of 6:7 is 54 cm and 63 cm respectively.