18 people order soup and sandwiches for lunch. Sandwiches cost 7.75 each and 4.50 the soup. Total cost of 18 luchees was 113.50 how many sandwiches were ordered

Let the soup be x and sandwich be y

7.75x+4.50y=113.50

x=18-y

7.75 (18-y) + 4.50y=113.50

y=10

x+y=18

so x=8

Let soups be represented by x and sandwiches by y.

x + y = 18

4.5x + 7.75y = 113.50

x = 18 - y

4.5 (18 - y) + 7.75 y = 113.5

= 81 - 4.5y + 7.75y = 113.5

81 + 3.25y = 113.5

3.25y = 32.5

y = 10.

x + y = 18

x + 10 = 18

Thus, x = 8.

Thus, 8 soups and 10 sandwiches were ordered.