Question

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 1

15) 316,67

18) 150%

19) 172 employees

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:

`N = (100*19)/(6)`

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.

`P = (450*100)/(300)`

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.

`N = (74*100)/(43) = 172.092`

N = 172 employees