Problema Solution
a new hospital in Manchester starts out with 10 juniors and 5 senior residents on the staff. Managment plans to hire additional personnel at a rate of 2 junior residents per month and 3 senior residents per month. eventually there will be an equal number of each of the staff. How many months will it take? Write 2 equations to go with this story problem.
Answer provided by our tutors
let m = the number of months
the number of juniors after m months will be: 10 + 2m
the number of seniors after m months will be: 5 + 3m
eventually there will be an equal number of each of the staff meaning
10 + 2m = 5 + 3m
by solving we find
m = 5 months
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it will take 5 months for the number of each of the staff becomes equal.