Question

Manuela works as a security guard. She makes $15 per hour. Her employers deduct $125 from her weekly check to cover insurance and takes. If Manuela receives at least $205 in her weekly paycheck, what is the feast number of hours she works in a week

Answer 1

At least 22 hours in a week.

Explanation:

Given: Manuela make $15 per hour.

Her employers deduct $125 from her weekly check.

Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck=
`Hourly\ pay* number\ of\ hours- Deduction`

Now, forming an inequality to determine weekly pay of Manuela.

⇒
`15* x- 125\geq 205`

⇒
`15x-125\geq 205`

Adding both side by 125

⇒
`15x\geq 205+125`

⇒
`15x\geq 330`

Divinding both side by 15

⇒
`x\geq (330)/(15)`

∴
`x \geq 22\ hours`

Hence, Manuela works at least 22 hours per week.