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Sagot :
The three equations that show different ways in which he could break the stick are :
- l = x + 2·x + 3·x
- l = x + 5·x + 8·x
- l = 3·x + 2·x + 6·x
Given parameters :
The number of pieces into which Christopher has to break the stick = 3 pieces
Length of a piece ≠ The length of the other pieces
- Let l represent the length of the stick,
- Let x, represent a unit length,
- Let, A, B, and C, represent the length of the pieces.
Three possible equations that can be written using multiples of x are;
- l = x + 2·x + 3·x
A = x ≠ B = 2·x ≠ C = 3·x
x=1/6
- l = x + 5·x + 8·x
A = x ≠ B = 5·x ≠ C = 8·x
x=1/14
- l = 3·x + 2·x + 6·x
A = 3·x ≠ B = 2·x ≠ C = 6·x
x=1/11
The three equations that show different ways in which he could break the stick are l = x + 2·x + 3·x, l = x + 5·x + 8·x and l = 3·x + 2·x + 6·x.
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