Math  /  Numbers & Operations

QuestionFinding a Job Math Quiz p.m. Yas pel a 30 minute unpaid lunch bresk every warkidy. How many hours will you be prid for mis week?
0 4) 17.5 t) 1185 8) 10.35 d) 25 Submit Cxest keymange Mither, leve.

Studdy Solution

STEP 1

What is this asking? How many paid work hours are there in a week with varying daily schedules and a daily unpaid 30-minute lunch break? Watch out! Don't forget to subtract the lunch breaks!
Also, be careful converting minutes to hours, it's a common trip-up!

STEP 2

1. Calculate daily work hours.
2. Calculate total weekly paid hours.

STEP 3

From 8 a.m. to 5 p.m. is 99 hours.
Subtract the 3060=0.5\frac{30}{60} = 0.5 hour lunch break.
So, Monday's paid hours are 90.5=8.59 - 0.5 = \textbf{8.5} hours.
Woohoo, Monday done!

STEP 4

From 9 a.m. to 3 p.m. is 66 hours.
Don't forget that 30-minute\textbf{30-minute} lunch break, which is 3060=0.5\frac{30}{60} = 0.5 hours.
That means Tuesday's paid hours are 60.5=5.56 - 0.5 = \textbf{5.5} hours.
Keep it going!

STEP 5

From 8:30 a.m. to 2:15 p.m., let's think this through.
From 8:30 a.m. to 2:30 p.m is 66 hours.
But we finish at 2:15 p.m., so it's 66 hours minus 1515 minutes, which is 61560=60.25=5.756 - \frac{15}{60} = 6 - 0.25 = 5.75 hours.
Now subtract that lunch break: 5.750.5=5.255.75 - 0.5 = \textbf{5.25} hours.
Almost there!

STEP 6

We just need to add the paid hours from each day.
Monday was 8.5\textbf{8.5} hours, Tuesday was 5.5\textbf{5.5} hours, and Thursday was 5.25\textbf{5.25} hours.
Adding them together: 8.5+5.5+5.25=19.258.5 + 5.5 + 5.25 = \textbf{19.25} hours.
Boom!

STEP 7

The total paid work hours for the week is 19.25\textbf{19.25} hours.
That looks like option c!

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