Solve the following system word problem.
25.
Sam and Tim ordered food for their colleagues at a local restaurant. Sam ordered 3 personal
pan pizzas and 6 burgers for a total of $43.41. Tim ordered 2 personal pan pizzas and 7
burgers for a total of $40.91.
The cost of each pizza was. And the cost of each burger was
Let p be the cost of a pizza, and b the cost of a burger. 3p + 6b = 43.41 2p + 7b = 40.91 Take twice the first and subtract from three times the second. 9b = 35.91 b = 3.99 Substitute b back in either equation, to get p = 6.49.
