SOLUTION: Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1       Log On


   



Question 1188801: Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1 per basic topping and $2 per premium topping. The girls spend a total of $15 on their pizza. Let x = the number of basic toppings and y = the number of premium toppings. How many basic and how many premium toppings did they order?
answer choices
A. 7 basic toppings and no premium toppings
B. 3 basic toppings and 2 premium toppings
C. 7 basic toppings and no premium toppings
D. No basic toppings and 5 premium toppings

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the problem, it is clear that they bought one pizza;

so they spent 15-8 = 7 dollars for toppings.


Thus you have this system of two equations


     x +  y = 5    (1)     (counting toppings)

    1x + 2y = 7    (2)     (counting money)


Easy check by inspection shows that only option B is the solution.

Solved.