Question

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes, how much money will she earn in one week after the changes? Is this more or less than her previous weekly earnings?

Answer 1

She will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

Explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

`10.50* 40\\\\=\$420.`

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

`10.50+14\%\ of\ 10.50\\\\=10.50+(14)/(100) * 10.50\\\\=10.50+1.47\\\\=11.97`

Salary after hourly raise = $11.97 per hour.

Then, to get the number of hours worked decreased by 7.5%:

`40-7.5\%\ of\ 40\\\\=40-(7.5)/(100) * 40\\\\=40-3\\\\=37.`

Number of hours per week after hours of worked decreased = 37 hours.

Now, to get the salary after changes:

Salary after hourly raise × number of hours per week after hours of worked decreased

`=11.97* 37`

`=\$442.89.`

Salary after changes in one week = $442.89.

As, the previous salary was $420 in one week.

And after changes this salary is $442.89 in one week which is more than previous.

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.