Rebecca R. answered • 07/12/18

Tutor

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Elementary school math tutor with experience in Common Core.

HI, Kareena!

Okay, so I'm assuming you need to find out how many people fit in a car and how many fit in a van.

Ok, let's let:

X = number of people in a van

Y = number of people in a car

The, we have 2 equations and 2 variables:

2X + 3Y = 21

4X + 1Y = 27

Now, you can multiply the first equation by 2 and then subtract the equations:

2(2X + 3Y = 21) =

4X + 6Y = 42

4X + 6Y = 42

4X + 1Y = 27

----------------

subtract the equations:

5Y = 15

Y = 3

then solve for X:

2X + 9 = 21

2X = 12

X = 6

Therefore:

6 people can fit in a van

3 people can fit in a car