Which jobs paid better than others? Explain your reasoning.

Understand the Problem

The question is asking to compare the payment received by Andre for mowing different lawns based on the time spent on each job and determine which job paid better, along with an explanation of the reasoning behind that conclusion.

Answer

The neighbor's lawn and uncle's lawn paid $20 per hour, while the community center lawn paid $15 per hour.

Steps to Solve

Calculate payment per hour for each job

To find out which job paid better, we need to calculate the payment Andre received for each hour of work.

For the neighbor's lawn:

Time: $ \frac{1}{2} $ hour
Earnings: $10
Payment per hour:

$$ \text{Payment per hour} = \frac{\text{Earnings}}{\text{Time}} = \frac{10}{\frac{1}{2}} = 20 $$
For the uncle's lawn:

Time: $ \frac{3}{2} $ hours
Earnings: $30
Payment per hour:

$$ \text{Payment per hour} = \frac{30}{\frac{3}{2}} = 30 \div 1.5 = 20 $$
For the community center's lawn:

Time: $2$ hours
Earnings: $30
Payment per hour:

$$ \text{Payment per hour} = \frac{30}{2} = 15 $$

Compare payments per hour

Now, we will compare the calculated payments per hour for each job to determine which paid better.

Neighbor's lawn: $20 per hour
Uncle's lawn: $20 per hour
Community center lawn: $15 per hour

Summarize findings

Both the neighbor's lawn and the uncle's lawn paid the same, at $20 per hour, while the community center lawn paid less at $15 per hour.

The jobs that paid better are the neighbor's lawn and the uncle's lawn, both at $20 per hour. The community center lawn paid $15 per hour.

More Information

This comparison shows that Andre earned a consistent amount for an hour of work when mowing the neighbor's and uncle's lawns. The community center lawn paid less, illustrating how varying payment structures can affect hourly wages.

Tips

Not converting hours properly: Ensure to convert mixed fractions into improper fractions or decimals for accurate calculations.
Forgetting to divide earnings by the correct time: Double-check that you are calculating payment per hour appropriately.

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