Question

I need help please and make it simple so I understand

Answer 1

Answer:$13.61

Explanation:

1. Julio is paid 1.2 times his normal hourly rate for each hour worked over 31 hours in a week.

2. Last week, Julio worked 37 hours and earned $519.52.

To calculate Julio's earnings, we need to consider two parts:

1. Earnings for the first 31 hours: Julio would earn r dollars per hour for these hours.

2. Earnings for the additional 6 hours: Julio would earn 1.2r dollars per hour for these hours.

Based on this information, we can set up the equation:

Earnings for the first 31 hours + Earnings for the additional 6 hours = Total earnings

Let's solve the equation step by step:

31r + 6(1.2r) = 519.52

Simplifying the equation:

31r + 7.2r = 519.52

38.2r = 519.52

Dividing both sides by 38.2 to solve for r:

r = 519.52 / 38.2

r ≈ 13.61

Therefore, Julio's normal hourly rate is approximately $13.61 per hour.

To verify the reasonableness of our answer, we can compare the earnings calculated using the normal hourly rate with the given total earnings of $519.52. In the given information, it is mentioned that Julio worked 37 hours. If he worked at his normal hourly rate of $13.61 for 37 hours, his earnings would be:

37 hours * $13.61 per hour = $503.57

Since $503.57 is close to the given total earnings of $519.52, it supports the reasonableness of our answer

Answer 2

To find Julio's normal hourly rate, we can set up an equation based on the information given.

Let's denote Julio's normal hourly rate as "r".

According to the information given, Julio is paid 1.2 times his normal hourly rate for each hour he works over 31 hours in a week. Last week, he worked 37 hours and earned $519.52.

We can set up the equation:

Earnings = Normal hourly rate * Regular hours + Extra hours * (1.2 * Normal hourly rate)

In this case, Julio worked 37 - 31 = 6 extra hours.

Substituting the given values into the equation:

$519.52 = r * 31 + 6 * (1.2 * r)

Simplifying the equation:

$519.52 = 31r + 7.2r

Combining like terms:

$519.52 = 38.2r

To solve for "r," we can divide both sides of the equation by 38.2:

$519.52 / 38.2 = r

Approximately, Julio's normal hourly rate, "r," is $13.61 per hour.

To check if our answer is reasonable, we can calculate the earnings for working 37 hours at a rate of $13.61 per hour:

37 * $13.61 = $503.57

This is close to the given amount of $519.52, indicating that our answer is reasonable.