SOLUTION: I need some help with this please!: A local pizzeria sells a small pizza with one topping for $6 and a small pizza with three toppings for $8. What is the charge for a PLAIN small

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I need some help with this please!: A local pizzeria sells a small pizza with one topping for $6 and a small pizza with three toppings for $8. What is the charge for a PLAIN small       Log On


   

Question 412142: I need some help with this please!: A local pizzeria sells a small pizza with one topping for $6 and a small pizza with three toppings for $8. What is the charge for a PLAIN small pizza? What is the charge for each topping? Use a system of equations to model each situation. Solve by using any method (substitution,elimination).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are asking "What is the price per topping?"
Let x = the price / topping
Let y = cost of the pizza without a topping
given:
1 topping costs 1%2Ax
3 toppings cost 3x
(1) y+%2B+x+=+6
(2) y+%2B+3x+=+8
---------------
This is 2 equations with 2 unknowns, so it's solvable
Subtract (1) from (2)
(2) y+%2B+3x+=+8
(1) -y+-+x+=+-6
2x+=+2
x+=+1
The cost/topping is $1
and, from (1),
(1) y+%2B+x+=+6
y+=+6+-+1
y+=+5
The charge for a plain pizza is $5