#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.