A restaurant charges $9 for a large cheese pizza plus $1.25 per topping. Another restaurant charges $13 for a large cheese pizza plus $0.25 per topping. How many toppings does a pizza have that costs the same at both restaurants?

4 toppings

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

For restaurant A, the total cost (A) is equal to the price of a pizza (9) plus the product of the price of each topping (1.25) and the number of toppings (t)

A = 9+ 1.25 t

Same for the total cost of restaurant B (B)

B = 13 + 0.25 t

So, both costs must be equals:

A=B

So:

9+ 1.25 t = 13 + 0.25 t

Solving for t:

1.25t -0.25t = 13-9

1t = 4

t= 4/1

t=4

answer: ok

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is