Answer:
Part a) 2 toppings
Part b) [tex]\$15.30[/tex]
Step-by-step explanation:
Part a) How many toppings need to be added to a large cheese pizza from Poppy's Pizzeria and Geo's Pizza in order for the pizzas to cost the same?
Let
x -----> the number of topping
y ----> the total cost of a large cheese pizza
we know that
Poppy's Pizzeria
[tex]y=1.25x+12.80[/tex] ----> equation A
Geo's Pizza
[tex]y=0.65x+14.00[/tex] ----> equation B
Equate equation A and equation B
[tex]1.25x+12.80=0.65x+14.00[/tex]
Solve for x
[tex]1.25x-0.65x=14.00-12.80[/tex]
[tex]0.60x=1.2[/tex]
[tex]x=2\ toppings[/tex]
Part b) What would that cost be?
we know that
For x=2 toppings the cost is the same in both pizzerias
so
substitute the value of x in equation A or equation B
Poppy's Pizzeria
[tex]y=1.25(2)+12.80[/tex]
[tex]y=\$15.30[/tex]
Verify the cost in the other pizzeria (must be the same)
Geo's Pizza
[tex]y=0.65(2)+14.00[/tex]
[tex]y=\$15.30[/tex] ----> is ok
