Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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?

Sagot :

crisforp
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 .,

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.