Answer: 1) 9 days
2) a)37.5%
b)50%
c) 33.33%
Step-by-step 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:
[tex]40x=(40+20)(x-3)\\40x=60(x-3)[/tex]
- Solve for [tex]x[/tex]:
[tex]40x=60x-180\\-20x=-180\\x=9[/tex]
(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:
[tex]\frac{3}{8}*100=37.5[/tex]%
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:
[tex]\frac{3}{6}*100=50[/tex]%
c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:
[tex]\frac{1}{6}-\frac{1}{8}=\frac{1}{24}=0.04167[/tex]
- Divide the result by 1/8 and multiply by 100 to obtain the percent:
[tex]\frac{0.04167}{\frac{1}{8}}*100=33.33[/tex]%