Question

One Friday night, two large groups of people called Centerville Taxi Service. The first group

requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?

Answer 1

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps