Question

Writing an equation of the form A/x+B)C to solve a word probl...

Trey has a part-time job and gets pald the same amount each hour. For each hour he works, he puts $2 aside for his mom. Trey works 7 hours a day and the
total amount he keeps each day is $56. How much does he get paid each hour?
(a) Write an equation that could be used to answer the
question above. First, choose the appropriate form. Then,
fill in the blanks with the numbers 2, 7, and 56. Leth
represent the amount (in dollars) Trey gets paid each hour.
(b) Solve the equation in part (a) to find the amount (in
dollars) Trey gets paid each hour.
h =

Answer 1

(a) The equation is
`7h-2=56`.

(b) Trey gets approximately $8.29 for each hour of work.

Explanation:

Given:

Number of hours Trey works = 7

Amount of money he put aside for mom = $2

Total Amount he keeps each day = $56

We need to find the amount he gets for each hour.

Let 'h' represent the amount (in dollars) Trey gets paid each hour.

Solving for part (a).

We need to write the equation to find the amount he gets paid for each hour.

Now we can say that;

Total Amount he keeps each day is equal to Number of hours Trey works multiplied by the amount he gets paid for each hour minus Amount of money he put aside for mom.

framing in equation form we get;

`7h-2=56`

Hence the equation is
`7h-2=56`.

Solving for part (b).

we need to solve the above equation to find the amount he gets paid for each hour.

On solving the equation we get;

Adding both side by 2 we get

`7h-2+2=56+2\\\\7h=58`

Now Dividing both side by 7 using Division Property we get;

`(7h)/(7) = (58)/(7)\\\\h \approx \$8.29`

Hence Trey gets approximately $8.29 for each hour of work.