At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises

380.

Step-by-step explanation:

Given:

Total number of employees at Gallicum Enterprises are in the ratio,

J : k : L = 1 : 3 : 5 for some time.

Last month, 20 new J employees were hired, and no employees left and the new ratio of J to K is now 1 : 2.

Question asked:

What is the new total number of employees at Gallicum Enterprises ?

Solution:

As given, J : K : L = 1 : 3 : 5

So, J : K = 1 : 3

As last month, 20 new J employees were hired, new ratio of J to K is now

1 : 2.

So,

Dividing equation 1 and 2,

By cross multiplication:

Subtracting both sides by

From equation 1.

By cross multiplication:

As given, J : K : L = 1 : 3 : 5

So,  K : L =  3 : 5

By cross multiplication:

Dividing both sides by 3

New total number of employees after hiring 20 new J employees :

New J + K + L = (New J = J + 20 = 40 + 20 = 60 )

60 + 120 + 200 = 380

Therefore, the new total number of employees at Gallicum Enterprises is 380.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500