Answer:
A woman paid 1.6 more than a man when both scored a 10 on the test.
Step-by-step explanation:
Let T be a worker's score on the test.
The firm then pays the new worker a wage of
[tex]w=0.6T+0.4G[/tex]
where G is the average test score for the worker's gender 16 for women; 12 for men.
We need to find how much more is a woman paid than a man when both scored a 10 on the test.
The wage of a woman who scored 10 on the test is
[tex]w_1=0.6(10)+0.4(16)[/tex]
[tex]w_1=6.0+6.4=12.4[/tex]
The wage of a man who scored 10 on the test is
[tex]w_2=0.6(10)+0.4(12)[/tex]
[tex]w_2=6.0+4.8=10.8[/tex]
The difference between wages is
[tex]w_1-w_2=12.4-10.8=1.6[/tex]
Therefore a woman paid 1.6 more than a man when both scored a 10 on the test.
