Mixed Operations Word Problems Worksheets - Math Worksheets ... - Free Printable

Let's solve each problem step by step.

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Problem 1:

A multi-level parking lot has 6 levels and a total of 1,327 parking spots. There are 162 parking spots on the first level. The rest of the parking spots are distributed equally on the other 5 levels. How many parking spots are there on the top level?

#### Solution:
1. Total parking spots = 1,327
2. Parking spots on the first level = 162
3. Remaining parking spots = Total parking spots - Parking spots on the first level
\[
1,327 - 162 = 1,165
\]
4. These remaining 1,165 parking spots are distributed equally among the other 5 levels.
5. Parking spots per level (for the other 5 levels) = Remaining parking spots ÷ 5
\[
1,165 ÷ 5 = 233
\]

Thus, the number of parking spots on the top level is:
\[
\boxed{233}
\]

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Problem 2:

On each level, there are 12 spots close to the 3 elevators reserved for drivers with disabilities. How many parking spots are reserved for drivers with disabilities altogether?

#### Solution:
1. Number of spots reserved for drivers with disabilities per level = 12
2. Total number of levels = 6
3. Total spots reserved for drivers with disabilities = Spots per level × Number of levels
\[
12 × 6 = 72
\]

Thus, the total number of parking spots reserved for drivers with disabilities is:
\[
\boxed{72}
\]

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Problem 3:

Other than the spots reserved for drivers with disabilities, there are 285 parking spots for monthly rentals, and the rest are for hourly parking. How many spots are there for hourly parking?

#### Solution:
1. Total parking spots = 1,327
2. Spots reserved for drivers with disabilities = 72 (from Problem 2)
3. Spots for monthly rentals = 285
4. Spots available for hourly parking = Total parking spots - (Spots for drivers with disabilities + Spots for monthly rentals)
\[
1,327 - (72 + 285) = 1,327 - 357 = 970
\]

Thus, the number of parking spots for hourly parking is:
\[
\boxed{970}
\]

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Problem 4:

The daily parking rate is $30. If Jack parks his car for 5 days a week and 4 weeks in a month, how much does he pay for parking in a year?

#### Solution:
1. Daily parking rate = $30
2. Days parked per week = 5
3. Weeks per month = 4
4. Months per year = 12
5. Total days parked in a year = Days per week × Weeks per month × Months per year
\[
5 × 4 × 12 = 240
\]
6. Total cost for parking in a year = Daily parking rate × Total days parked in a year
\[
30 × 240 = 7,200
\]

Thus, the total amount Jack pays for parking in a year is:
\[
\boxed{7200}
\]

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Problem 5:

There were 816 cars parked in the parking lot on Monday morning. At lunch time, 91 cars left the lot. After lunch, 135 cars came back to the parking lot. How many parking spots were left on Monday afternoon?

#### Solution:
1. Initial number of cars parked = 816
2. Cars that left at lunch time = 91
3. Cars that returned after lunch = 135
4. Number of cars parked after lunch = Initial number of cars - Cars that left + Cars that returned
\[
816 - 91 + 135 = 860
\]
5. Total parking spots = 1,327 (given in the problem)
6. Parking spots left = Total parking spots - Number of cars parked after lunch
\[
1,327 - 860 = 467
\]

Thus, the number of parking spots left on Monday afternoon is:
\[
\boxed{467}
\]

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Problem 6:

Write an equation using "x" and then solve the equation. The hourly rate is $x. If each car parks at the lot for 7 hours per day and all the parking spots are taken up, the parking lot can receive $27,867 in a day.

#### Solution:
1. Total parking spots = 1,327
2. Each car parks for 7 hours per day.
3. Hourly rate = $x
4. Revenue from one car in one day = Hourly rate × Hours parked per day = \( x × 7 \)
5. Total revenue from all cars in one day = Revenue per car × Total number of cars
\[
7x × 1,327 = 27,867
\]
6. Solve for \( x \):
\[
7x × 1,327 = 27,867
\]
\[
9,289x = 27,867
\]
\[
x = \frac{27,867}{9,289} = 3
\]

Thus, the hourly rate \( x \) is:
\[
\boxed{3}
\]

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Final Answers:

1. \(\boxed{233}\)
2. \(\boxed{72}\)
3. \(\boxed{970}\)
4. \(\boxed{7200}\)
5. \(\boxed{467}\)
6. \(\boxed{3}\)