Question

Please answer both questions and show all your work. I am in a hurry... please...

1) To finish an order in time the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. In how many days was the company supposed to finish the order?


2) If eight people share equally in an inheritance, what percent of the inheritance belongs to three people? What percent belongs to them if two of the people are disinherited? By what percent does each person’s share of the inheritance increase?

Answer 1

Answer: 1) 9 days

2) a)37.5%

b)50%

c) 33.33%

Explanation:

1) - Let's call:

x: number of days the company supposed to finish the order.

- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:

`40x=(40+20)(x-3)\\40x=60(x-3)`

- Solve for
`x`:

`40x=60x-180\\-20x=-180\\x=9`

(The answer is 9 days)

2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:

`(3)/(8)*100=37.5`%

b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:

`(3)/(6)*100=50`%

c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:

`(1)/(6)-(1)/(8)=(1)/(24)=0.04167`

- Divide the result by 1/8 and multiply by 100 to obtain the percent:

`(0.04167)/((1)/(8))*100=33.33`%