Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
[tex]S+P=510[/tex]
90 more SUVs were sold than passenger cars. In other words:
[tex]S=90+P[/tex]
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
[tex]90+P+P=510[/tex]
Combine like terms:
[tex]2P+90=510[/tex]
Subtract 90 from both sides:
[tex]2P=420[/tex]
Divide both sides by 2:
[tex]P=210[/tex]
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!
