Some office workers bought a $60 gift for their boss. If there have been 5 more employees to contribute, everyone's cost would have been $2 less. How many workers contributed to the gift?

Question

Mathematics

Giuliana Thornton

6 January, 02:54

Some office workers bought a $60 gift for their boss. If there have been 5 more employees to contribute, everyone's cost would have been $2 less. How many workers contributed to the gift?

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Answers (1)

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Gina Walker · Answer 1

X * y = 60;

(x + 5) * (y - 2) = 60 = > xy + 5y - 2x - 10 = 60 = > 5y - 2x = 10 = >

x = (5y - 10) / 2;

But x * y = 60 = > [ (5y - 10) / 2] * y = 60 = > 5y^2 - 10y - 120 = 0;

The discriminant is 2500 = > y1 = (10 + 50) / 10 = > y1 = $ 6 > 0 (okay);

y2 = (10 - 5 0) / 10 = > y2 = - 4 < 0 (isn't okay);

Then x = (30 - 10) / 2 = > x = 10 workers contributed to the gift.,