A car dealership sells SUVs and passenger cars . For a recent year, 80 more SUVs were sold than passenger cars. If a total of 510 vehicles were sold, determine the number of each type of vehicle sold.

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altavistard altavistard · Answer 1 · 2019-12-06T05:19:06+01:00

Answer:

295 SUVs were sold, and 215 passenger vehicles.

Step-by-step explanation:

Let s and p represent the number of SUVs and p the number of passenger cars.

Then s = p + 80 and s + p = 510.

Substitute p + 80 for s in the second equation, obtaining:

p + 80 + p = 510, or:

2p = 430

Dividing both sides by 2 isolates p: p = 215.

Since s = p + 80, we add 80 to 215 here, obtaining s = 295.

295 SUVs were sold, and 215 passenger vehicles.

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maya1100 maya1100 · Answer 2 · 2022-06-21T20:39:20+02:00

Number of passenger car sold is 215.

Number of SUV sold is 295.

Total number of cars sold is 510

Assume the number of Passenger car sold is X

The Number of SUV's sold is X+80

X+(X+80)=510

2X+80=510

2X=510-80

2X=430

X=430/2

The number of Passenger car sold is X=215

Apply the value of X=215 in X+80

The number of SUV's sold=215+80

The number of SUV's sold=295

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