Answer:
Cost of one rose bush: $10
Cost of one shrub: $4
Step-by-step explanation:
1. You must make a system of equation, where [tex]x[/tex] is the cost of one rose bush and [tex]y[/tex] is the cost of one shrub.
2. You know that Rob spent $100 on 8 rose bushes and 5 shrubs and Amy spent $112 on 8 rose bushes and 8 shrubs, therefore, you have.
[tex]\left \{ {{8x+5y=100} \atop {8x+8y=112}} \right.[/tex]
3. Apply the Substitution method. Multiply the first equation by -1, add both equations and solve for y:
[tex]\left \{ {{8x-5y=-100}\atop {8x+8y=112}} \right.\\------\\3y=12\\y=4[/tex]
4. Substitute y into one of the equation and solve for x:
[tex]8x+5(4)=100\\8x=80\\x=10[/tex]
