Question

A string is cut into 3 pieces A, B, and C in the ratio 1:2:5. if the total length of the string is 16m. Find the length of each piece.

Answer 1

Step-by-step explanation:

total length =16

let the 3 strings be 1x, 2x and 5x

or, 1x+2x+5x=16

or, 8x=16

or, x=16/8

x=2

now the length of each peice

1x=2

2x=4

5x=10

hope this helps

Answer 2

Step-by-step explanation:

$let \: piece \: a \: be : x \\ piece \: b \: be: 2x \\ piece \: c \: be : 5x \\ total \: length \: of \: string \: is : 16m \\ x + 2x + 5x = 16 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2 \\ now. \: length \: of \: piece \: a = 2 \\ length \: of \: piece \:b = 2(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \\ length \: of \: peice \: c = 5(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10$

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