SOLUTION: a grocer marks frozen yogurt topping such that eight pineapple toppings and three strawberry toppings cost $22 and four pineapple toppings and seven strawberry toppings also cost $

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a grocer marks frozen yogurt topping such that eight pineapple toppings and three strawberry toppings cost $22 and four pineapple toppings and seven strawberry toppings also cost $      Log On


   

Question 1107682: a grocer marks frozen yogurt topping such that eight pineapple toppings and three strawberry toppings cost $22 and four pineapple toppings and seven strawberry toppings also cost $22. Find the price of each pineapple topping and strawberry topping
Answer by rumessa(13) About Me  (Show Source):
You can put this solution on YOUR website!
sol:
let pineapple topping= x
and strawberry topping=y
then system of equation be
8x+3y=22 equ:1
4x+7y=22 equ:2
multiply equation 2 by 2 and then subtract it from equ:1
1( 8x+3y=22)=> 8x+3y=22
2(4x+7y=22)=> 8x+14y=44
- - -
-11y=-22
y=2
put y=2 in equ 1
8x+3(2)=22
8x+6=22
8x=22-6
8x=16
x=2
pineapple topping cost is 2$ and strawberry topping is 2$.