Question

One third of a number t is less than or equal to 5

Answer 1

t ≤ 15

Explanation:

The number is t, and 1/3 of that number would be
`(1)/(3)` t

So:

`(1)/(3)` t ≤ 5

If we solve for t we get out answer.

`(1)/(3)` t = 5 Divide each side by
`(1)/(3)`

When you divide by a fraction you take it's inverse and multiply,

so
`(1)/(3)` becomes
`(3)/(1)` which is the same as 3.

Now we have t = 5*3

t = 15

So t must be less than or equal to 15.

t ≤ 15

You can check your answer by choosing a number greater than 15 and less than 15.

Let's choose 12 and 18.

`(1)/(3)` t ≤ 5
`(1)/(3)` t ≤ 5

`(1)/(3)` (12) ≤ 5
`(1)/(3)` (18) ≤ 5

4 ≤ 5 6 ≤ 5

Yes! No!

So our answer is correct.