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Lincoln is working two summer jobs, making $13 per hour lifeguarding and $23 per hour tutoring. Last week Lincoln earned a total of $210 and worked 4 times as many hours tutoring as he worked hours lifeguarding. Determine the number of hours Lincoln worked lifeguarding last week and the number of hours he worked tutoring last week.

Respuesta :

Answer:

Lincoln worked 2 hours lifeguarding and 8 hours tutoring

Step-by-step explanation:

The number of hours Lincoln worked lifeguarding last week and the number of hours he worked tutoring last week is 42.

How determine the number of hours Lincoln worked lifeguarding last week?

Let, the number of hours Lincoln worked lifeguarding last week = x

Based on the given conditions, formulate:

x [tex]\times[/tex] (1 + 4) = 210

By using multiplicative distribution law, we get

x + 4x = 210

5x = 210

Divide both sides of the equation by the coefficient of variable, we get

[tex]$x=210 \div 5$[/tex]

estimate the product or quotient, then we get

x = 42

Therefore, the number of hours Lincoln worked lifeguarding last week and the number of hours he worked tutoring last week is 42.

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