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Form an equation to help you solve this problem.
A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a third
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?

Form an equation to help you solve this problem A school bus is full as it sets off At the first stop 3 children get off and at the next stop a third of the rem class=

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sqdancefan

Answer:

  12

Step-by-step explanation:

If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...

  x/2 = x -3 -(1/3)(x -3)

Multiplying by 6, we have ...

  3x = 6x -18 -2(x -3)

  3x = 4x -12 . . . . simplify

  12 = x . . . . . . . . add 12-3x

There were 12 children on the bus at the start.

_____

Check

After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.

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