Jill bought oranges and bananas. she bought 12 pieces of fruit and spent $5. oranges cost $0.50 each and bananas $0.25. write a system of equations to model the problem. then solve the system algebraically. how many oranges and how many bananas did jill buy? *show work *

X=number of oranges.
y=number of bananas.
$5

we can suggest this system of equations:
x+y=12
0.5x+0.25y=5
We can solve this system of equations by substitution method.
x=12-y

0.5(12-y)+0.25y=5
6-0.5y+0.25y=5
-0.25y=5-6
-0.25y=-1
y=-1 /- 0.25=4

x=12-y
x=12-4=8

Jill bought 8 oranges and 4 bananas.