Solve Sat Math: Find # Passengers on Bus Now

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Discussion Overview

The discussion revolves around a math problem involving a bus and the number of passengers at various stops. Participants explore different methods to solve the problem, including direct calculation and plugging in values. The focus is on understanding the setup of the problem and the implications of initial conditions.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests using a plugging method to solve the problem, claiming the answer is option D.
  • Another participant argues for solving the problem directly without tricks, inviting others to share their work if they are stuck.
  • A participant shares their attempt at solving the problem by assigning values to x and y, but expresses confusion over the initial number of passengers.
  • Another participant points out that the bus should start with zero passengers before picking up any at the first stop.
  • There is a recommendation to solve the problem in terms of x and y rather than using specific numbers, suggesting that the initial assumption about passengers affects the outcome.

Areas of Agreement / Disagreement

Participants disagree on the initial condition of the bus's passenger count, with some asserting it should start at zero while others initially assumed a non-zero count. The discussion remains unresolved regarding the best method to approach the problem.

Contextual Notes

There is uncertainty regarding the initial number of passengers on the bus, which affects the calculations. The discussion also highlights different approaches to solving the problem, with no consensus on the most effective method.

Who May Find This Useful

Students preparing for standardized math tests, particularly those interested in problem-solving strategies for word problems involving algebra and arithmetic.

hkhero
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At the first stop on its route, a bus picks up x passengers. At the second stop, y passengers get on the bus. At the third stop, 2/3 of the passengers exit the bus. At the fourth stop, 2 passengers get on the bus. How many passengers is the bus carrying right now?
a) (3x+3y+4)/3
b) (2x-2y-4)/3
c) (6-2x-2y)/3
d) (x+y+6)/3
e) (3x+2y+6)/3

I'm jux wondering hwo can u do this by using PLUG INS... thanks a lot... btw the answer is D.
 
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In my humble opinion, you should just figure it out directly, without resorting to some trick.

But if you're dead set on plugging things into solve the problem... then do it by plugging things in. :-p If you're having problems, then show us what you've done, and where you're stuck!
 
thatZ wt i did:
for ppl whoz orignally, i put 20 for that, then for x i put 3, and for y i put 4.
so first stop itz 20+3,
second stop itz 23+4,
third 27 * (1/3) = the ppl whoz left in the bus
fourth 9+2
so the total number is 11, but i couldn't find the answer... help! i think i have a problem about setting the original number of the bus.
 
for ppl whoz orignally, i put 20 for that
Ah, that's your problem. The bus shouldn't have any passengers on board before it starts servicing its route!
 
so it should be 0 for the orignally passenger?
 
Before the bus picks up x passengers, it should have zero on board. Otherwise, it kind of defeats the point of having a first stop.

I highly recommend you solve it by seeing how many passengers there must be in terms of x and y directly, otherwise you're going to be using a weak method that will only fail you later (or if it's not multiple choice)
 

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