SOLUTION: Four oranges and five apples cost $2.00. Three oranges and four apples cost $1.56. Find the cost of each orange and the cost of each apple

Algebra ->  Test -> SOLUTION: Four oranges and five apples cost $2.00. Three oranges and four apples cost $1.56. Find the cost of each orange and the cost of each apple      Log On


   



Question 424288: Four oranges and five apples cost $2.00. Three oranges and four apples cost $1.56. Find the cost of each orange and the cost of each apple
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
oranges ------ x cost
apples --------y
4x+5y=2 .............1
3x+4y=1.56.............2
multiply (1)by -4
Multiply (2) by 5
-16x-20y =-8
15x+20y= 7.8
Add the two equations
-x=-0.2
/-1
x= 1/5 =0.20/ Orange

plug value of x in (1)

4x+5y=2
0.8+5y= 2
5y=2-0.8
5y=1.2
y= 1/4= 0.25/Apple