Question

When Carla looked out at the school parking lot, she noticed that for every 2 minivans , there were 5 other types of vehicles. If there are 161 vehicles in the parking lot, how many of them are not minivans?

Answer 1

`2:5\\2x:5x\\2x+5x=7x\\\\7x = 161\\x=23\\\\5* 23= \boxed {115} \leftarrow answer`

Answer 2

Let

x--------> number of minivans at the school parking

y-------> number of other types of vehicles at the school parking

we know that

`(x)/(y) =(2)/(5) \\\\ 5x=2y`

`y= 2.5x` -----> equation
`1`

`x+y=161` ------> equation
`2`

Substitute equation
`1` in equation
`2`

`x+(2.5x)=161\\\\ 3.5x=161\\\\ x=(161)/(3.5)\\\\x= 46`

`y=2.5*46\\ y=115`

therefore

The number of minivans at the school parking is equal to
`46`

The number of other types of vehicles at the school parking is equal to
`115`

the answer is

The number of vehicles that are not minivans is
`115`