Question

A car dealership has both

Answer 1

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

$x+y=280$ ----> equation A

The  ratio of new to used  vehicles is 7:3

so

$\frac{x}{y} =\frac{7}{3}$

$x=\frac{7}{3}y$ ----> equation B

substitute equation B in equation A

$\frac{7}{3}y+y=280$

solve for y

$\frac{10}{3}y=280\\\\10y=840\\\\y=84$

Find the value of x

$x=\frac{7}{3}(84)=196$

therefore

The number of new vehicles is 196