Difference between revisions of "2005 PMWC Problems/Problem I14"

Latest revision as of 20:33, 21 August 2022

From the given, we have the equations

$3g = 6b \Longrightarrow g = 2b$ $2y = 5b \Longrightarrow y = \frac{5}{2}b$ $4w = 6b \Longrightarrow w = \frac{3}{2}b$

Substuting gives us $4g + 2y + 2w = 4(2b) + 2\left(\frac{5}{2}b\right) + 2\left(\frac{3}{2}b\right) = 16b$ , and our answer is 16.

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-== Problem ==
-On a balance scale, three green balls balance six blue balls, two yellow balls balance five blue balls and six blue balls balance four white balls. How many blue balls are needed to balance four green, two yellow and two white balls?
 == Solution ==
 From the given, we have the [[equation]]s