SOLUTION: 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 gro

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Question 1116666: 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?
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
People per Vehicle
c the ratio for sedans (cars)
v the ratio for miniVans



Solving this one is very clear.


Can you see, v=6 and c+v=9;
but one of the values really does not make good sense.
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~

This problem is for MENTAL solution, and the solution is in two lines: 

    1.  The difference of 27-21 = 6 is exactly the number of peoples that can seat in minivan.


    2.  From the part related to the 2-nd group, you see that 1 sedan plus one minivan can carry 9 passengers. 

        Then from n.1 you get that each sedan carries 9-6 = 3 passengers.

Solved.

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To see other similar solved problems,  look into the lesson
    - Solving mentally word problems on two equations in two unknowns
in this site.

The problems like this are good at the interview for a Math position,  when the interviewer wants to check if the interviewed person
has a creative mind.

If after reading the condition the interviewed person starts writing systems of equation,  the interviewer writes  "-"  in his checklist.

If the interviewed person solves the problem mentally,  in a way as I showed it in my solution,  the interviewer writes  "+"  in his checklist.

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

Ignore writing by @josgarithmetic,  because it is nonsense.



Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

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?
Correct answer:  

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