A golf resort offers the following two special packages. The Par 3 Package includes four nights of lodging and three rounds of golf for $443.50. The Par 5 Package includes seven night of lodging and five rounds of golf for $765.50. The rate for each night of lodging and for each round of golf are the same in both packages. How many dollars does one night's lodging cost?

Question

A golf resort offers the following two special packages.  The Par 3 Package includes four nights of lodging and three rounds of golf for $443.50.  The Par 5 Package includes seven night of lodging and five rounds of golf for $765.50.  The rate for each night of lodging and for each round of golf are the same in both packages.  How many dollars does one night's lodging cost?

Reiny · Answer

cost of lodging ---x cost of golf ------ y 4x + 3y = 443.50 7x + 5y = 765.5 1st times 5 --> 20x + 15y = 2217.5 2nd times 3 --> 21x + 15y = 2296.5 subtract them x = 79 back in #1 etc

Amy · Answer

Thank you so very much.