matematica
contestada

At a factory, a mechanic earns $17.25 an hour. The president of the company earns 6 3/4 times as much for each hour he works. The janitor at the same company earns 3/4 as much as the mechanic. How much does the company pay for all three people employees'
wages for one hour of work?

Respuesta :

apologiabiology
find how much each earns

pres =6 and 3/4 times mec pay=17.25 times 6.75=116.4375, about $116.44
janitor is 3/4 or 0.75 of janitor=17.25 times 0.75=12.9375, about $12.94

add them

$17.25+$116.4275+$12.9375=146.615
round
$146.62
BladeRunner212

$146.625

Further explanation

Given:

  • At a factory, a mechanic earns $17.25 an hour.
  • The president of the company earns 6³/₄ times as much for each hour he works.
  • The janitor at the same company earns ³/₄ as much as the mechanic.

Question:

How much does the company pay for all three people employees' wages for one hour of work?

The Process:

Let us prepare a model for a mechanic earns $17.25 an hour.

[tex]\boxed{\$ 17.25}[/tex]

Let us do multiplication on a fraction at first.

[tex]\boxed{ \ = \frac{3}{4} \times 17.25 \ }[/tex]

[tex]\boxed{ \ = 3 \times \frac{1}{4} \times 17.25 \ }[/tex]

[tex]\boxed{ \ = 3 \times \frac{17.25}{4} \ }[/tex]

[tex]\boxed{ \ = 3 \times 4.3125 \ }[/tex]

[tex]\boxed{\boxed{ \ 12.9375 \ }}[/tex]

Then we make a model for the president of the company who earn 6³/₄ (six and three quarter) times as much for each hour the mechanic works. Recall that [tex]\boxed{6\frac{3}{4} \ parts = 6 \ parts + \frac{3}{4} \ parts}[/tex]

[tex]\boxed{\$ 17.25}\boxed{\$ 17.25}\boxed{\$ 17.25}\boxed{\$ 17.25}\boxed{\$ 17.25}\boxed{\$ 17.25}\boxed{12.9375}[/tex]

Let's calculate how much the president of the company earns for each hour.

[tex]\boxed{ \ = (6 \times \$ 17.25) + \$ 12.9375 \ }[/tex]

[tex]\boxed{ \ = \$ 103.5 + \$ 12.9375 \ }[/tex]

[tex]\boxed{ \ \$ 116.4375 \ }[/tex]

And we also calculate for the janitors who earn ³/₄ as much as the mechanic.

[tex]\boxed{ \ = \frac{3}{4} \times 17.25 = 12.9375 \ }[/tex]

Finally, let's add up all earning to find out how much does the company pay for all three people employees' wages for one hour of work.

[tex]\boxed{ \ \$ 17.25 + \$ 116.4375 + \$ 12.9375 = \$ 146.625 }[/tex]

Learn more

  1. What was the sale price of the house? brainly.com/question/1049004
  2. How many students are in the grade https://brainly.com/question/1070972
  3. How much did Ciro spend altogether for the concert ticket, hotel, and dinner? brainly.com/question/12507869

Keywords: at a factory, a mechanic earns, $17.25 an hour, the president of the company, 6 3/4 times, each hour he works, the janitor, how much, pay for all, three people, employees'wages, model