Question

#5. You are the local handyman and estimate that it would take you 4 hours and 15 minutes to hang the blinds in the new house. It took you 1.5 times more than your estimated. You also estimate that it would take you 2 and ½ hours to install tiles in the bathroom of the house in which you are working. You finished this job in 2 and ¼ hours. If you earn $23.50 per hour you work, how much will you earn on these two jobs?

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Answer 1

To calculate your total earnings for the two jobs, we'll first determine the total hours worked on each job and then multiply by your hourly rate.

1. **Hanging the blinds**:
- Estimated time: 4 hours 15 minutes = 4.25 hours (since 15 minutes is 0.25 hours).
- Actual time taken: 1.5 times the estimate:
\( 1.5 \times 4.25 = 6.375 \) hours.

2. **Installing tiles**:
- Estimated time: 2 hours 30 minutes = 2.5 hours.
- Actual time taken: 2 hours 15 minutes = 2.25 hours.

3. **Total hours worked**:
- Total = Hours for blinds + Hours for tiles:
\[
6.375 \, \text{hours} + 2.25 \, \text{hours} = 8.625 \, \text{hours}.
\]

4. **Total earnings**:
- Earnings = Total hours worked × Hourly rate:
\[
8.625 \, \text{hours} \times 23.50 \, \text{dollars/hour} = 202.6875 \, \text{dollars}.
\]
- Rounding to two decimal places: \$202.69.

Thus, the total amount you will earn for these two jobs is **\$202.69**.