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

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

Reference link will be

https://brainly.in/question/8694723

Answer 2

Answer:

2will be the correct answer