Solving systems of equations word problems worksheet for all problems, define variables, write the system of equations and solve variables.

Question

A large pizza at palanzio's pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guidos pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzios pizzeria and Guido's pizza in order for the pizzas to cost the same, not including tax?

Answer 1

6.80 + .90T = 7.30 + .65T

.25T = .50

T = 2 toppings make the costs of the pizzas equal, at $8.60 each

T>2 makes Guidos pizza less expensive

T<1 makes Palanzio's cheaper