The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?

the number is 2.409

Step-by-step explanation:

based on the question;

let the  number  N

1/6 of N = (1/6)N

21/2  of N = ( 5/2)N

now, the sum of  a number (N)  1/6 of that number(1/6)N , (5/2)N and 7  will be expressed as

N + ( 1/6)N + (5/2)N + 7 = 12 1/2

N + N/6 + 5N/2 + 7 = 25/2

find the lcm of the equation

we have;

(6N + N +15N + 42)/6= 25/2

(22N + 42)/6 = 25/2

Using cross multiplication we have

44N + 84 =  150

Collecting the like terms

44N = 150- 84

44N = 106

Divide both sides by 44

44N/44= 106/44

N = 2.409

15 units use socratic

step-by-step explanation: 15 units