Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

An employment agency specializing in temporary construction help pays heavy equipment operators
$130 per day and general laborers
$93 per day. If thirty-four people were hired and the payroll was
$3717, how many heavy equipment operators were employed? How many laborers?

An employment agency specializing in temporary construction help pays heavy equipment operators $\$ 130$ per day and general laborers $\$ 93$ per day. If thirty-four people were hired and the payroll was $\$ 3717$ , how many heavy equipment operators were employed? How many laborers?

View step-by-step help

View step-by-step help

Add and subtract money amounts: word problems

Full solution

Q. An employment agency specializing in temporary construction help pays heavy equipment operators

\$ 130

per day and general laborers

\$ 93

per day. If thirty-four people were hired and the payroll was

\$ 3717

, how many heavy equipment operators were employed? How many laborers?

Define variables: Step $1$ : Define the variables for the number of heavy equipment operators and laborers. $\newline$ Let $x$ be the number of heavy equipment operators. $\newline$ Let $y$ be the number of general laborers. $\newline$ Total number of people hired: $x + y = 34$
Set up payroll equation: Step $2$ : Set up the equation for the total payroll. $\newline$ Pay for heavy equipment operators: $\$130$ per day. $\newline$ Pay for laborers: $\$93$ per day. $\newline$ Total payroll equation: $130x + 93y = \$3717$
Solve system of equations: Step $3$ : Solve the system of equations. $\newline$ From Step $1$ : $y = 34 - x$ . $\newline$ Substitute $y$ in the payroll equation: $\newline$ $130x + 93(34 - x) = 3717$ $\newline$ $130x + 3162 - 93x = 3717$ $\newline$ $37x + 3162 = 3717$ $\newline$ $37x = 3717 - 3162$ $\newline$ $37x = 555$ $\newline$ $x = \frac{555}{37}$ $\newline$ $x = 15$
Find values of x and y: Step $4$ : Find the value of y using $x = 15$ . $\newline$ $y = 34 - 15$ $\newline$ $y = 19$

More problems from Add and subtract money amounts: word problems

Question

The regular price of a laptop computer is

\$901

. This week, it is on sale for

\$887

off. What is the sale price of the computer?

\$

Posted 3 months ago

Question

Last month, Margo bought a tree that grows

2.5 \mathrm{~cm}

each day. It was

5 \mathrm{~cm}

tall when she bought it and now it is

65 \mathrm{~cm}

tall. How many days has Margo owned the plant?

Posted 1 month ago

Question

Benji's flight from Chicago to San Jose took

0

5

hour longer than his return flight from San Jose to Chicago. If Benji's flight from Chicago to San Jose was

4

5

hours long, how long was his return flight, in hours?

\newline

1

\newline

3

5

\newline

4

\newline

4

5

\newline

5

Posted 1 month ago

Question

2 \frac{3}{5} \mathrm{~kg}

of bird seed in his large feeder. This is

1 \frac{3}{10}

times as much seed as he puts in his smaller feeder.

\newline

How much bird seed does Chidi put in his smaller feeder?

\newline

\mathrm{kg}

Posted 2 months ago

Question

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly.

\newline

The relationship between the elapsed time

t

, in seconds, and the number of bacteria,

B_{\text {second }}(t)

, in the petri dish is modeled by the following function:

\newline

B_{\text {second }}(t)=6000 \cdot\left(\frac{15}{16}\right)^{t}

\newline

Complete the following sentence about the rate of change in the number of bacteria in minutes. Round your answer to two decimal places.

\newline

Every minute, the number of bacteria decays by a factor of

Posted 3 months ago

Question

To visit her grandmother, Melek takes a motorcycle

3

8

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

\newline

How many kilometers is Melek's journey in total?

\newline

Posted 3 months ago

Question

Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was

0.005 \mathrm{~cm}

in diameter, and Eduardo's strand was

0.012 \mathrm{~cm}

\newline

How much greater was the diameter of Eduardo's hair?

\newline

Posted 3 months ago

Question

Kylie has a modern quarter with a mass of

5.623 \mathrm{~g}

and an older silver quarter with a mass of

6.24 \mathrm{~g}

\newline

What is the combined mass of the quarters?

\newline

Posted 3 months ago

Question

Darragh has a Golden Eagle coin in his collection with a mass of

13.551 \mathrm{~g}

. An uncirculated Golden Eagle coin has a mass of

13.714 \mathrm{~g}

\newline

How much mass has Darragh's coin lost?

\newline

Posted 3 months ago

Question

During a recent rainstorm,

8

centimeters of rain fell in Dubaku's hometown, and

2

36

centimeters of rain fell in Elliot's hometown. During the same storm,

15

19

centimeters of snow fell in Alperen's hometown.

\newline

How much more rain fell in Dubaku's town than in Elliot's town?

\newline

Posted 3 months ago