Asked by Nicole
In a project, Mr Tung's daily wage was $100 more than Mr Pang's. Although Mr Tung worked 3 days less than Mr Pang, both of them earned $3600. Find the number of days Mr Tung worked in the project.
Answers
Answered by
Graham
Find x, the days Mr. Tung has worked.
Mr. Tung's daily wage is (3600/x).
Mr. Pang's daily wage is (3600/x)-100.
Mr. Pang worked (x+3) days.
Therefore:
3600 = (3600/x -100)(x+3)
Multiply by x/100:
36x = (36-x)(3+x)
Expand and rearrange into quadratic form. Then find the quadratic roots. At least one root will be the number of days Mr. Tung has worked.
Mr. Tung's daily wage is (3600/x).
Mr. Pang's daily wage is (3600/x)-100.
Mr. Pang worked (x+3) days.
Therefore:
3600 = (3600/x -100)(x+3)
Multiply by x/100:
36x = (36-x)(3+x)
Expand and rearrange into quadratic form. Then find the quadratic roots. At least one root will be the number of days Mr. Tung has worked.