Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 .,

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.