Asked by Amy

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?

Answers

Answered by Reiny
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
Answered by Amy
Thank you so very much.
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