Question

Last weekend the Lead-X Basketball team ordered fourteen spicy chicken sandwiches

and six chicken bites for fifty-five dollars and ninety cents. This weekend, the team
ordered seven spicy chicken sandwiches and five chicken bites for thirty-three dollars
and nineteen cents.

Answer 1

To solve this problem, we can use a system of equations. Let x be the cost of a spicy chicken sandwich and y be the cost of a chicken bite.

From the first order:

14x + 6y = 55.90

From the second order:

7x + 5y = 33.19

We can use elimination method to solve for one of the variables. Multiplying the second equation by 2:

14x + 10y = 66.38
14x + 6y = 55.90

Subtracting the second equation from the first:

4y = 10.48

y = 2.62

Now we can substitute y = 2.62 into either equation to find x:

14x + 6(2.62) = 55.90

14x + 15.72 = 55.90

14x = 40.18

x = 2.87

Therefore, a spicy chicken sandwich costs $2.87 and a chicken bite costs $2.62.