Question

GMAT数学题求解答！

Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39

答案为D，希望能给出详细解答！十分感谢各位!

Answer 1

according to James's working time,he totally paid 40x+2x=42x dollars for this.so Harry paid 42x.suppose H spend y hours，y>30 30x+1.5x(y-30)=42x y=38

追问

但是二样只能列出式子y=8x+30，怎么才能确定具体y的值呢？因为不知道x啊

追答

等式两边的x约掉了。y-30=8 y=38