Answer:
Cost of each food truck is:
Green: $82,000
Blue: $90,000
Step-by-step explanation:
Let us first analyse the information given. We have two trucks a Blue (B) and Green (G). We know that B costs as $8000 more than G and together they cost $172,000.
Now if we represent the cost of a truck with [tex]x[/tex] and we say that the Green costs [tex]x[/tex], then we know that the Blue's cost will be [tex]x+8000[/tex].
Thus the total cost of the two trucks (given at $172,000) can be expressed as:
[tex]Cost_{B}+Cost_{G}=Cost_{Total}\\\\(x+8000)+x=172,000[/tex]
Solving the above expression for [tex]x[/tex] we have:
[tex]x+8,000+x=172,000\\2x+8,000=172,000\\2x=172,000-8,000\\2x=164,000\\x=\frac{164,000}{2}\\ x=82,000[/tex]
Thus we know that since Green truck is [tex]x[/tex] and Blue truck is [tex]x+8,000[/tex] the cost of each truck is:
Green: $82,000
Blue: $90,000
