SOLUTION: The price of two globes and three pockets of cement is R40. Calculate the price of a globe and a pocket if cement if the price of 12 globes and 2 pockets of cement is R32

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The price of two globes and three pockets of cement is R40. Calculate the price of a globe and a pocket if cement if the price of 12 globes and 2 pockets of cement is R32      Log On


   

Question 1067674: The price of two
globes and three pockets of cement is
R40. Calculate the price of a globe and a
pocket if cement if the price of 12 globes
and 2 pockets of cement is R32
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2G+3C=40
12G+2C=32
-12G-18C=-240, multiplying the top by -6 to eliminate G. Add it to the equation above it.
-16C=-208
C=13 R
substitute in the first
2G+39=40
2G=1
G=0.5
Check in second
12(0.5)+2(13)=32, which it does
The Globes are R0.5
The Cement is R13