# An employment agency in temporary construction help pays heavy equipment operators $140 per day and general laborers$90 per day. If thirty-five people were hired and the payroll was $3950, how many heavy equipment operators were employed? How many laborers? Question Algebra foundations asked 2020-11-29 An employment agency in temporary construction help pays heavy equipment operators$140 per day and general laborers $90 per day. If thirty-five people were hired and the payroll was$3950, how many heavy equipment operators were employed? How many laborers?

2020-11-30
Let x be the number of operators and y be the number of laborers.
Thirty-five people were hired so:
$$\displaystyle{x}+{y}={35}{\left({1}\right)}$$
The payroll was $3950 so: $$\displaystyle{140}{x}+{90}{y}={3950}{\left({2}\right)}$$ Solve for yy using (1) to obtain (3): $$\displaystyle{y}={35}−{x}{\left({3}\right)}$$ Substitute (3) to (2) and solve for x: $$\displaystyle{140}{x}+{90}{\left({35}−{x}\right)}={3950}$$ $$\displaystyle{140}{x}+{3150}−{90}{x}={3950}$$ $$\displaystyle{50}{x}+{3150}={3950}$$ $$\displaystyle{50}{x}={800}$$ $$\displaystyle{x}={16}$$ Solve for y using (3): $$\displaystyle{y}={35}−{16}$$ $$\displaystyle{y}={19}$$ So, there were 16 operators and 19 laborers. ### Relevant Questions asked 2021-01-19 A bicycle with tires of radius r=15 inches is being ridden by a boy at a constant speed - the tires are making five rotations per second. How many miles will he ride in minutes? (1mi = 5280 ft) asked 2020-10-28 RJ’s Plumbing and Heating charges$55 plus $40 per hour for emergency service. Gary remembers being billed over$100 for an emergency call. How long was RJ’s there?
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