Let's represent Carlita's age as "x".
Half of Carlita's age is (1/2)x.
The sum of half of Carlita's age and 3 is (1/2)x + 3.
Three times the sum of half of Carlita's age and 3 is 3[(1/2)x + 3] = (3/2)x + 9.
We are given that this expression is at least 12, so we can write the inequality:
(3/2)x + 9 ≥ 12.
Subtracting 9 from both sides, we have:
(3/2)x ≥ 3.
Multiplying both sides by 2/3, we have:
x ≥ 2.
Therefore, Carlita's age must be greater than or equal to 2. Since age cannot be negative, the possible values for Carlita's age are any value greater than or equal to 2.
Three times the sum of half Carlita’s age and 3 is at least 12. What values represent Carlita’s possible age?
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1 answer