Answer:
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
