Question

If 3 times a number, added to 2, divided by the number plus 3, the result is 5/2. what is the number?

Answer 1

@Jamielynne @bibby @coolman500

Answer 2

Let the number be : \(n\)..
3 times a number means : \(3 \times n \implies 3n\)
added to 2 means : Add that number with \(2\) : \(3n + 2\)
Divided by the number plus 3 means:
\[\frac{3n+2}{n+3}\]

Answer 3

ok so the 3n+2/n+3 is = to 5/2?

Answer 4

The result is finally 5/2.
So, equate that to 5/2.
\[\frac{3n+2}{n+3} = \frac{5}{2}\]

Answer 5

Good.. :)

Answer 6

Can you find \(n\) from here?

Answer 7

um im not sure

Answer 8

Okay, don't worry.. Do you know how to cross multiply?

Answer 9

yes

Answer 10

Do that and tell me what you end up with?

Answer 11

ok

Answer 12

so i got 15n+10=2n+6 so i need to combine like terms right?

Answer 13

Oh.. No..!! Sorry..!!

Answer 14

?