Select the correct answer.

Question

Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.

Answer 1

Let's analyze the information provided:

Cole's age is 3 years less than Tina's age. This can be represented with the equation: \[ \text{Cole's age} = \text{Tina's age} - 3 \]

We know Cole's age is 18, so we can substitute that into the equation: \[ 18 = t - 3 \]

Now, we can solve for Tina's age \( t \): \[ t = 18 + 3 \] \[ t = 21 \]

So, the equation that represents this situation is: \[ t - 3 = 18 \]

And as we've calculated, Tina is 21 years old.

Thus, the correct answer is: A. The equation that represents this situation is t − 3 = 18. Tina is 21.