The sum of 4.5 and one third a number is equal to at most 38.9. What are all the possible values of the number? How would you write an equality that could br used to soval this problem.

1 answer

Let's call the number x. The problem states that the sum of 4.5 and one-third of the number is equal to at most 38.9. We can write this as an equation:

4.5 + (1/3)x ≤ 38.9

To solve this inequality, we can subtract 4.5 from both sides:

(1/3)x ≤ 38.9 - 4.5

Simplifying the right side:

(1/3)x ≤ 34.4

To isolate x, we need to multiply both sides of the inequality by 3:

3 * (1/3)x ≤ 3 * 34.4

Simplifying:

x ≤ 103.2

So all possible values of the number, x, are less than or equal to 103.2.