Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a
?(1 point)
Responses
2a = 13
2 a equals 13
13a = 2
13 a equals 2
12a = 13
Start Fraction 1 over 2 End Fraction a equals 13
a + 12 = 13
a = 26
Let's break down the problem step by step.
1. Given information: Kendra is 13 years old, and her age is half the age of Justin.
2. We represent Justin's age as 'a'.
3. We can write the equation for Kendra's age as: Kendra's age = (1/2) * Justin's age.
4. Substituting the given value of Kendra's age (13) into the equation, we get: 13 = (1/2) * a.
5. To find Justin's age, we solve the equation: 13 = (1/2) * a.
Therefore, the correct equation representing Justin's age is: (1/2)a = 13.
To determine the equation that represents Justin's age, we need to take into account the information given in the question.
The question states that Kendra's age is half the age of Justin, and that Kendra is 13 years old. Therefore, we can express this relationship as:
Kendra's age = Justin's age / 2
Since Kendra's age is given as 13, we can substitute this value into the equation:
13 = Justin's age / 2
To solve for Justin's age, we can multiply both sides of the equation by 2:
2 * 13 = Justin's age
26 = Justin's age
So the correct equation that represents Justin's age is:
a = 26
Therefore, none of the given options (2a = 13, 13a = 2, 12a = 13, a + 12 = 13) correctly represents Justin's age.