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.

Respuesta :

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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 [tex]25\text{hours}=\$375[/tex]

Money made by Lamar after working for [tex]40\text{hours}=\$600[/tex]

Money made by Lamar in [tex]15\text{hours}=\text{Amount made by working for 40 hours}-\text{Amount made by working for 25 hours}[/tex]

                                            [tex]\$600-\$375[/tex]

                                            [tex]\$225[/tex]

money made by Lamar by working for [tex]15\text{hour}=\$225[/tex]

money made by Lamar by working for [tex]1\text{hour}=\frac{\text{Money made in 15 hours}}{\text{total time}}[/tex]

                                                       [tex]\frac{\$225}{15}[/tex]

                                                       [tex]\$15[/tex]

Therefore Money made by Lamar by working for [tex]10\text{hour}=\text{money made by Lamar for working 1 hour}\times10\text{hour}[/tex]

                             [tex]10\times15[/tex]

                             [tex]\$150[/tex]

Lamar would make [tex]\$150[/tex] after [tex]10[/tex] hours of work