contestada

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?

Respuesta :

TSO
[tex]2:5\\2x:5x\\2x+5x=7x\\\\7x = 161\\x=23\\\\5\times 23= \boxed {115} \leftarrow answer[/tex]
calculista

Let

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

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

we know that

[tex] \frac{x}{y} =\frac{2}{5} \\\\ 5x=2y [/tex]

[tex] y= 2.5x [/tex] -----> equation [tex] 1 [/tex]

[tex] x+y=161 [/tex] ------> equation [tex] 2 [/tex]

Substitute equation [tex] 1 [/tex] in equation [tex] 2 [/tex]

[tex] x+(2.5x)=161\\\\ 3.5x=161\\\\ x=\frac{161}{3.5}\\\\x= 46 [/tex]

[tex] y=2.5*46\\ y=115 [/tex]

therefore

The number of minivans at the school parking is equal to [tex] 46 [/tex]

The number of other types of vehicles at the school parking is equal to [tex] 115 [/tex]

the answer is

The number of vehicles that are not minivans is [tex] 115 [/tex]

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