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
![w=0.6T+0.4G](https://tex.z-dn.net/?f=w%3D0.6T%2B0.4G)
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
![w_1=0.6(10)+0.4(16)](https://tex.z-dn.net/?f=w_1%3D0.6%2810%29%2B0.4%2816%29)
![w_1=6.0+6.4=12.4](https://tex.z-dn.net/?f=w_1%3D6.0%2B6.4%3D12.4)
The wage of a man who scored 10 on the test is
![w_2=0.6(10)+0.4(12)](https://tex.z-dn.net/?f=w_2%3D0.6%2810%29%2B0.4%2812%29)
![w_2=6.0+4.8=10.8](https://tex.z-dn.net/?f=w_2%3D6.0%2B4.8%3D10.8)
The difference between wages is
![w_1-w_2=12.4-10.8=1.6](https://tex.z-dn.net/?f=w_1-w_2%3D12.4-10.8%3D1.6)
Therefore a woman paid 1.6 more than a man when both scored a 10 on the test.