Ashleenbondidn
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Cole's age is 3 years less than his sister Tina's age, [tex] t [/tex]. If Cole is 18, which equation represents this situation, and how old is Tina?

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

Sagot :

GinnyAnsweridn
Let's analyze the given situation step-by-step.

1. Understanding the problem:
- Cole's age is 3 years less than Tina's age, which we denote by [tex]$t$[/tex].
- We know that Cole is 18 years old.

2. Formulating the equation:
- If Cole is 3 years younger than Tina, we can express this relationship as:

Cole's age = Tina's age - 3.

3. Substituting the known value:
- We know that Cole is 18 years old, so we substitute Cole's age into the equation:

18 = Tina's age - 3.

4. Solving for Tina's age:
- To find Tina's age [tex]$t$[/tex], we need to isolate [tex]$t$[/tex] on one side of the equation. We do this by adding 3 to both sides of the equation:

[tex]\[ 18 + 3 = t \][/tex]

- Simplifying the left side gives us:

[tex]\[ t = 21 \][/tex]

So, the correct equation that represents this situation is [tex]$t - 3 = 18$[/tex], and Tina is 21 years old.

Thus, the correct answer is:
A. The equation that represents this situation is [tex]$t-3=18$[/tex]. Tina is 21 .
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