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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:
while Charles has the whole one third of D left to do.
The remaining amount of work is:
Of this amount, Ashley has to perform a fraction. Denote this fraction by x:
Similarly, for Bertram:
and for Charles:
Therefore, the remaining work must be divided among them according to the multiple ratio: