Question

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?

Answer 1

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

Answer 2

$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.

$\boxed{\ 17.25}$

Let us do multiplication on a fraction at first.

$\boxed{ \ = \frac{3}{4} \times 17.25 \ }$

$\boxed{ \ = 3 \times \frac{1}{4} \times 17.25 \ }$

$\boxed{ \ = 3 \times \frac{17.25}{4} \ }$

$\boxed{ \ = 3 \times 4.3125 \ }$

$\boxed{\boxed{ \ 12.9375 \ }}$

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 $\boxed{6\frac{3}{4} \ parts = 6 \ parts + \frac{3}{4} \ parts}$

$\boxed{\ 17.25}\boxed{\ 17.25}\boxed{\ 17.25}\boxed{\ 17.25}\boxed{\ 17.25}\boxed{\ 17.25}\boxed{12.9375}$

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

$\boxed{ \ = (6 \times \ 17.25) + \ 12.9375 \ }$

$\boxed{ \ = \ 103.5 + \ 12.9375 \ }$

$\boxed{ \ \ 116.4375 \ }$

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

$\boxed{ \ = \frac{3}{4} \times 17.25 = 12.9375 \ }$

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.

$\boxed{ \ \ 17.25 + \ 116.4375 + \ 12.9375 = \ 146.625 }$

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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