a supervisor must split 60 hours of overtime between five people. One employee must be assigned twice the number of hours as each of the other four employees. How many hours of overtime will be assigned to each employee?
as a wedding gift a couple was given 100 shares of stock worht $27.50 per share. By their first anniversary, the valur of the stock had risen by 8%. How much more was the stock worth at the end of the year than when the couple first received it?
.08 * 2750 = $220
THE ANSWER IS 5 OKAY?
To solve this problem, let's break it down step by step:
1. Let's denote the number of hours assigned to each of the four employees as x.
2. According to the problem, one employee should be assigned twice the number of hours as each of the other four employees. Therefore, the fifth employee will be assigned 2x hours.
3. The total number of hours to be assigned in overtime is 60 hours.
4. Now we can set up an equation to solve for x: x + x + x + x + 2x = 60
(Each employee's hours plus the fifth employee's hours should equal 60 hours.)
5. Simplifying the equation, we get 5x + 2x = 60.
6. Combine like terms: 7x = 60.
7. Now, divide both sides of the equation by 7: x = 8.57 (rounded to two decimal places).
8. Since we cannot assign fractional hours, approximate x to the nearest whole number.
Therefore, x is approximately 9 hours.
9. Now, we can find the number of hours assigned to each employee:
Employee 1: 9 hours
Employee 2: 9 hours
Employee 3: 9 hours
Employee 4: 9 hours
Employee 5: 18 hours (twice the hours assigned to the other four employees)
So, each employee will be assigned 9 hours of overtime except for the fifth employee, who will be assigned 18 hours of overtime.
Luckily many fishing boats work on this system of shares where the captain and cook for example get double shares so I am used to this.
four single share employees + one double share employee = 6 shares each 10 hours
so four people get 10 hours and the double share person gets 20 hours.