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Sagot :
Here are the definitions I just made up:
S = weight of 1 spool
B = weight of 1 button
T = weight of 1 thimble
The question tells us that
4S + 1T = 29B
and
1S = 1T + 1B
Take the second equation, and subtract 1B from each side:
1T = 1S - 1B
Take this back to the first equation. In there, where it says '1T',
substitute '1S - 1B' in place of 1T .
4S + 1T = 29B
4S + 1(1S-1B) = 29B
Eliminate the parentheses: 4S + 1S - 1B = 29B
Add 1B to each side: 4S + 1S = 29B + 1B
Combine like terms on the left side: 5S = 29B + 1B
Combine like terms on the right side: 5S = 30B
Divide each side by 5 : S = 6B
Six (6) buttons will balance one (1) spool on the balance scale.
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