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This problem trains for: SAT-I, AMC-8, AMC-10.

Ashley, Bertram and Charles have shared a data entry project. Ashley entered one fifth of the data, Bertam entered one seventh. In what ratio should the remaining work be split in order for them the share the pay equally?

If they are to work equal shares, they each have to perform one third of the work.

Assuming the task has size D, Ashley has this much work remaining to be done:

equation

Bertram:

equation

while Charles has the whole one third of D left to do.

The remaining amount of work is:

equation

Of this amount, Ashley has to perform a fraction. Denote this fraction by x:

equation

equation

Similarly, for Bertram:

equation

equation

and for Charles:

equation

equation

Therefore, the remaining work must be divided among them according to the multiple ratio:

equation