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How many pencils does it take to balance a jar of paste if 1 pair of scissors and 2 jars of paste balance 8 pencils and 1 jar of paste balances 1 pairs of scissors and 1 pencil?
Wiki User
∙ 12y ago
Let S = Pair of Scissors
J = Jar of Paste
and P = Pencils
Then
1S + 2J = 8P
1J = 1S + 1P
From the second equation, 1S = 1J - 1P
Substitute this value in the first equation:
1J - 1P + 2J = 8P
so that 3J - 1P = 8P
or 3J = 9P
J = 3P
Three pencils will balance 1 jar.
Wiki User
∙ 12y ago
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