The total number of SUVs sold = 195
and the total number of passenger cars were sold = 115
For given question,
Let x be the total number of SUVs and y be the total number of passenger cars sold.
For a recent year,80 more SUVs were sold than passenger cars.
So we get an equation,
x = y + 80 .............(1)
A total of 310 vehicles were sold.
So we get an equation,
x + y = 310 .............(2)
Substitute the value of x from (1) in an equation (2),
(y + 80) + y = 310
2y + 80 = 310
2y = 230
y = 115
This means, total 115 passenger cars were sold.
Substitute the above value of in equation (1),
x = 115 + 80
x = 195
This means, total 195 SUVs were sold.
Therefore, the total number of SUVs sold = 195
and the total number of passenger cars were sold = 115
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