### Math Notes

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#### Algebra Solutions

##### Topics || Problems

A contactor has a daily payroll of 277 dollars when employing some men at 8 dollars per day and the others at 9 per day. On increasing those at 8 dollars by $$50\%$$, and doubling those at 9 dollars, he creates a daily payroll of 474. Find how many he originally employed at each wage? Solution:

Daily payroll = 277

Men(x) = 8 dollars per day

Men (y) = 9 dollars per day

$$8x + 9y = 277$$

$$12x + 18y = 474$$

$$x =\frac{277-9y}{8}$$

$$12[\farc{277-9y}{8}]+18y = 474$$

$$y=13$$

$$x = 20$$