Question

Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days. How much more is Addison’s holiday hourly rate than her regular hourly rate?

Answer 1

Answer:

Addison is my dad's shoe company bro

Answer 2

Answer:

Step-by-step explanation:

Given Addison earns a hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days. How much more is Addison’s holiday hourly rate than her regular hourly rate?

Let m be the regular rate and n be the holiday rate.

So we need to form equations, we get

5n + 16 m = 188.50-------------1

8n + 20 m = 254.00------------2

Solving the two equations we have,

Multiply eqn 1 by 8 and eqn 2 by 5 we get

40 n + 128 m = 1508

40 n + 100 m = 1270

       Subtracting we get

       28 m = 238

     Or m = 238 / 28

     Or m = 8.5

Now 5n + 16 m = 188.50

     5n + 16 m = 188.50

       5n + 16 (8.5) = 188.50

         5n +  136 = 188.50  

          5n = 188.50 - 136

                5 n = 52.5

              Or n = 52.5 / 5

              Or n = 10.5

Now n – m = 10.5 – 8.5

              = 2

Therefore Addison’s holiday hourly rate is $ 2 more than her regular hourly rate