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11. Smplif 00o) 15, 19 is 6% of what number? 18. What percent of 300 is 450? 19. In a certain company, 74 employees were hired in the last 5 years. If this represents 43% of the current number of employees, then how many current employees does the company have?

Answer :

valeriagonzalez0213

Answer:

15) 316,67

18) 150%

19) 172 employees

Step-by-step explanation:

We apply the rule of three to solve the problem

N------------------100%

X--------------------P

N = amount representing 100 %

X = amount representing % of N

P = percentage of X with respect to N

15)

Known values: X, P

X = amount representing % of N  

X = 19  

P = percentage of 19 with respect to N

P = 6%

Unknown value N=?

N = amount representing 100%  

Solution:

N is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 15: (19 *100%) and it is divided by the value (6%) that is aligned by the arrow with the unknown value:

[tex]N = \frac{100*19}{6}[/tex]

N = 316.67

18)

Known values: N, X

N = amount representing 100%,  

N = 300

X = amount representing % of N

X = 450

Unknown value: P=?

P = percentage of 450 with respect to 300

Solution:

P is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 18): (450*100%) and it is divided by the value (300), that is aligned by the arrow with the unknown value.

[tex]P = \frac{450*100}{300}[/tex]

P = 150%

19)

Known values: X, P

X = amount representing % of N

X = 74  

P = percentage of 74 respect N

P = 43%

Unknown value N=?

N = amount representing 100%

Solution:

N is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 19): (74 *100%) and it is divided by the value (43%), that is aligned by the arrow with the unknown value.

[tex]N = \frac{74*100}{43} = 172.092[/tex]

N = 172 employees

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