After working for 25 hours, Lamar made $375. After working for 40, Lamar made $600. Predict how much he would make after 10 hours of work.

Verified Answer :

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After 10 hours of work Lamar will make $150

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Answer:

$150

Step-by-step explanation:

Given: After working for 25 hours, Lamar made $375. After working for 40, Lamar made $600.

To Find: how much he would make after 10 hours of work.

Solution:

Money made by Lamar after working for \(25\text{hours}=\$375\)

Money made by Lamar after working for \(40\text{hours}=\$600\)

Money made by Lamar in \(15\text{hours}=\text{Amount made by working for 40 hours}-\text{Amount made by working for 25 hours}\)

                                            \(\$600-\$375\)

                                            \(\$225\)

money made by Lamar by working for \(15\text{hour}=\$225\)

money made by Lamar by working for \(1\text{hour}=\frac{\text{Money made in 15 hours}}{\text{total time}}\)

                                                       \(\frac{\$225}{15}\)

                                                       \(\$15\)

Therefore Money made by Lamar by working for \(10\text{hour}=\text{money made by Lamar for working 1 hour}\times10\text{hour}\)

                             \(10\times15\)

                             \(\$150\)

Lamar would make \(\$150\) after \(10\) hours of work