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## An employment agency specializing in temporary construction help pays heavy equipment operators $123 per day and general laborers $89 per da

Question

An employment agency specializing in temporary construction help pays heavy equipment operators $123 per day and general laborers $89 per day. If thirty-one people were hired and the payroll was $3507, how many heavy equipment

operators were employed? How many laborers?

The number of heavy equipment operators hired was

The number of general laborers hired was

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Mathematics
2 months
2021-07-28T08:14:56+00:00
2021-07-28T08:14:56+00:00 1 Answers
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## Answers ( )

Answer:The number of operators is 22 and the number of laborers is 9

Step-by-step explanation:This is a

2 line equation systemI’ll call the

laborers “L”and theequipment operators “E”The first line of the system is pretty much telling me that the

number of laborers plus the number of operators is 31:L + E = 31Now we need to calculate the money:

Since we know that

laborersare paid$89per day we’re gonna multiply them by that. Same thing with theoperator, but the value is now$12389L + 123E = 3507Our two line system is like this:

L + E = 3189L + 123E = 3507We

needeitherL or Eto be thesamein both of the equations so that whenI subtract one from anotherI can find the value of one of the variablesI’ll choose L cause it’s the lower number, so I’ll multiply the upper equation:

L+E=31 === *89 ====> 89L + 89E = 2.759Now we have these equations:

89L + 89E = 2.75989L + 123E = 3507Now I’m gonna

subtract the lower equation from the upper one:89L – 89L + 123E – 89E = 3507 – 2759Since

L is now zero it disappears, and by making the other calculations we have:34E = 748E = 22Since E = 22,

we can use the value in our first equation:E+L=31 ===> 22+L=31 ===> L=9Got it! The number of operators is 22 and the number of laborers is 9.If you wanna

double checkthis you can calculate theamount of money they’re paid, which should add up to $3507:22 operators * $123 = $27069 laborers * $89 = $8012706+801 = $3507We’re goodIf this helped you at all, would it be too much asking for brainliest?I would really appreciate itHave a great one