Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:
[tex]2\times x-15=2x-15[/tex]
In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:
[tex]12\times x+50=12x+50[/tex]
Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:
[tex]x+(2x-15)+(12x+15)=335[/tex]
Solving for 'x' we get:
[tex]x+2x+12x-15+50=335[/tex]
[tex]15x+35=335[/tex]
[tex]15x=335-35=300[/tex]
[tex]x=\frac{300}{15}=20[/tex]
Therefore, the number of new cars sold in that month is 20.
Number of used car sold [tex]=2x-15=2\times 20-15=40-15=25[/tex]
Number of cars serviced [tex]=12\times x+50=12\times20+50=240+50=290[/tex]
We can also cross check by summing them up:
[tex]290+25+20=335[/tex]
