Question

A cheese pizza at Chicago's Deep Dish pizza costs $7. Each topping costs an additional $0.75. A cheese pizza at Brooklyn's cost $12. Each topping costs an additional $0.50. Write an equation that represents how many toppings, y, must be added so that the two pizzas cost the same?

Answer 1

Step-by-step explanation:

Let the number of toppings be y

If cheese pizza at Chicago's Deep Dish pizza costs $7 and each topping costs an additional $0.75, the total amount of the dish pizza will be expressed as;

$7 + $0.75y ..... 1

Also, if a cheese pizza at Brooklyn's cost $12 and each topping costs an additional $0.50, then the total cost of cheese pizza will be;

$12 + $0.50y ........ 2

If the two pizzas cost the same, then equation 1 will be equal to equation 2 as shown;

7+0.75y = 12+0.50y

Make y the subject of the formula to generate the required equation for y:

0.75y-0.50y = 12-7

0.25y = 5

divide both sides by 0.25

0.25y/0.25 = 5/0.25

y = 5/0.25

y = 20

Hence the equation that represents how many toppings, y, must be added so that the two pizzas cost the same is y = 5/0.25 and the number of toppings added is 20.