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?

Answer 1

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

Answer 2

Thank you so very much.