Problema Solution
Antonio's Pizza charges $8.00 for a large pizza and $1.50 for each topping. Zina's Pizzaria charges $10.00 for a large pizza and $1.00 for each topping. Write and solve a system of equations to determine the number of toppings for which the pizzas would cost the same. What is the cost?
Answer provided by our tutors
let
x = the number of toppings for which the pizzas would cost the same
y = the number of pizzas sold
c = the total cost for y pizzas and x toppoings
we will assume that the number of pizzas sold is the same for both Pizza places
c = 8y + 1.50x
c = 10y + 18x
by solving the system we find
x = 4y toppings
c = 14y dollars
click here to see the step by step solution of the system
the number of toppings should be 4 times more then the number of pizzas
the cost of y pizzas and x toppings is 14y dollars, where y is the number of pizzas.