Math  /  Algebra

Question11. Miguel's paycheck is $871.25\$ 871.25. The paycheck includes 36.5 hours of work and a $50\$ 50 bonus. How much does Miguel earn for each hour of work, not including the bonus?

Studdy Solution

STEP 1

What is this asking? How much does Miguel make per hour, if his total pay of $871.25\$871.25 includes a $50\$50 bonus? Watch out! Don't forget to remove the bonus before calculating the hourly rate!

STEP 2

1. Remove the bonus
2. Calculate hourly rate

STEP 3

Alright, so Miguel got a nice little bonus, huh?
We gotta take that out to figure out his hourly rate.
He earned $871.25\$871.25 in **total**, but $50\$50 of that was the **bonus**.

STEP 4

So, let's **subtract** that bonus! $871.25$50=$821.25\$871.25 - \$50 = \$821.25 That means $821.25\$821.25 is what he earned just from working those hours.

STEP 5

Now, we know Miguel worked **36.5 hours** and earned $821.25\$821.25 from those hours.
To find his **hourly rate**, we need to **divide** his earnings by the number of hours he worked.
Think of it like this: if he worked one hour, he'd get paid his hourly rate.
If he worked two hours, he'd get paid twice his hourly rate.
So, if we divide his total earnings by the number of hours, we get back to that single hourly rate.

STEP 6

Let's **crunch those numbers**: $821.25÷36.5 hours=$22.50/hour\$821.25 \div 36.5 \text{ hours} = \$22.50/\text{hour} Boom!

STEP 7

Miguel earns $22.50\$22.50 per hour.

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