College

Leo earns [tex]\$7[/tex] an hour and [tex]\$15[/tex] in tips. If his paycheck is [tex]\$71[/tex], how many hours (h) did he work?

A. [tex]15 - 7h = 71[/tex]

B. [tex]7h + 15 = 71[/tex]

C. [tex]15 + 71 = 7h[/tex]

D. [tex]15 = 7h + 71[/tex]

Answer :

To find out how many hours Leo worked, we need to set up an equation based on the given information:

1. Leo earns [tex]$7 per hour, and he also received $[/tex]15 in tips.
2. His total paycheck amounts to $71.

We can represent the number of hours he worked as [tex]\( h \)[/tex]. Therefore, the equation for his total pay can be set up as follows:

[tex]\[ 7h + 15 = 71 \][/tex]

Now, let's solve this equation step-by-step:

1. Subtract the tips from the total paycheck to remove the tip amount from the equation:

[tex]\[ 7h + 15 - 15 = 71 - 15 \][/tex]

[tex]\[ 7h = 56 \][/tex]

2. To find the number of hours [tex]\( h \)[/tex], divide both sides of the equation by 7:

[tex]\[ h = \frac{56}{7} \][/tex]

3. Simplifying this gives:

[tex]\[ h = 8 \][/tex]

Therefore, Leo worked 8 hours.