Answer:
The number of new vehicles is 196
Step-by-step explanation:
Let
x ----> the number of new vehicles
y ----> the number of used vehicles
we know that
Currently, they have 280 vehicles
so
[tex]x+y=280[/tex] ----> equation A
The ratio of new to used vehicles is 7:3
so
[tex]\frac{x}{y} =\frac{7}{3}[/tex]
[tex]x=\frac{7}{3}y[/tex] ----> equation B
substitute equation B in equation A
[tex]\frac{7}{3}y+y=280[/tex]
solve for y
[tex]\frac{10}{3}y=280\\\\10y=840\\\\y=84[/tex]
Find the value of x
[tex]x=\frac{7}{3}(84)=196[/tex]
therefore
The number of new vehicles is 196
