1. At a professional football game, the cost of 2 bottles of water and 3 pretzels is $16.50. The cost of 4 bottles of water and a pretzel is $19.50. Determine the cost of a bottle of water and the cost of a pretzel.

let

p = the cost of a pretzel

b = the cost of a bottle of water

the cost of 2 bottles of water and 3 pretzels is $16.50

2b + 3p = 16.50

the cost of 4 bottles of water and a pretzel is $19.50

4b + p = 19.50

by solving the system of equations

2b + 3p = 16.50

4b + p = 19.50

we find

b = $4.2

p = $2.7

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2. The combined land area of the countries Georgia and Ireland is 139,973 square kilometers. Ireland is larger by 573 square kilometers. Determine the land area of each country.

let

I = the are of Ireland

G = the area of Georgia

I + G = 139973

I = 572 + G

by solving the above system of equations we find

G = 69,700.5 square kilometers

I = 70,272.5 square kilometers