How many tractors did A have originally?
Contractors A, B, and C faced a shortage of tractors on a construction project, so they lent one another tractors as needed. First, A lent B and C as many tractors as each already had. A few months later, B lent A and C as many tractors as each already had. Still later, C lent A and B as many tractors as each already had. By then each contractor had 24 tractors. How many tractors did A have originally?
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Tags: construction project, contractor, lent, project, shortage, Tractors
2 Responses to “How many tractors did A have originally?”
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work backwards.
each contractor has 24. if lent as many as alreayd had, before this exchange, A and B each mus thave had 12, giving C 48 tractors.
next exchange: B had to lend A 6 and C 24, so before this A had 6, C had 24, and B had 42.
first exchange: A had to have lent B 21 and C 12. So at the beginning, B had 21, C had 12, and Contractor A had 39 tractors orgiinally
A=B=C
x=x=x
4x=4x=4x=24
x=24/4
=6.
this is because they each gave each other 2ce their original amount 2x so that is at the end it was 4x