The Math Club sold slices of pizza, p, at a profit of $4 each and cans of soda, s, at $1 each, to raise money for a trip. They sold 300 items and made a profit of $600. Write the pair of linear equations that model this situation. Please show your work simply.
Let x be the number of slices of pizza sold and y be the number of cans of soda sold.
The profit from selling slices of pizza is $4 times the number of slices sold: 4x
The profit from selling cans of soda is $1 times the number of cans sold: y
The total profit from selling both slices of pizza and cans of soda is $600: 4x + y = 600
The total number of items sold is 300: x + y = 300
Therefore, the pair of linear equations that model this situation is:
4x + y = 600
x + y = 300