Math  /  Numbers & Operations

QuestionJames works at a local hospital. On Thanksgiving, which is a holiday, he was paid time and a half. This means that he is paid 1.5 times his regular wage, which is $24.80\$ 24.80 / hour. If he worked from 8:30 AM to 4:15 PM, how much did he earn that day? Show your steps.

Studdy Solution

STEP 1

What is this asking? How much money did James earn on Thanksgiving, working a holiday shift at 1.5 times his normal pay? Watch out! Don't forget to accurately calculate the total time worked, and make sure to factor in that sweet holiday pay bonus!

STEP 2

1. Calculate work duration
2. Calculate holiday pay rate
3. Calculate total earnings

STEP 3

Alright, first things first!
Let's figure out how long James worked that Thanksgiving shift.
He clocked in at 8:30 AM and clocked out at 4:15 PM.

STEP 4

Now, from 8:30 AM to 12:00 PM (noon) is 3 hours and 30 minutes, which is the same as 3.53.5 hours.
From 12:00 PM to 4:15 PM is 4 hours and 15 minutes, which is the same as 4.254.25 hours.

STEP 5

Adding those together, we get 3.5+4.25=7.753.5 + 4.25 = 7.75 hours.
So, James worked for **7.75 hours** on Thanksgiving.

STEP 6

James's regular hourly wage is $24.80\$24.80.
Since he's getting paid time and a half, we multiply his regular wage by 1.51.5 to find his holiday pay rate.

STEP 7

So, his holiday pay rate is 1.5$24.80=$37.201.5 \cdot \$24.80 = \$37.20 per hour.
That's $37.20\$37.20 for every hour he works on Thanksgiving!

STEP 8

Now, to find out how much he earned in total, we multiply his **holiday pay rate** of $37.20\$37.20 per hour by the **number of hours** he worked, which is 7.757.75 hours.

STEP 9

The calculation is 7.75$37.20=$288.307.75 \cdot \$37.20 = \$288.30.

STEP 10

James earned a total of $288.30\$288.30 on Thanksgiving.
Way to go, James!

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