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
13a = 2
13 a equals 2
a + 12 = 13
a plus Start Fraction 1 over 2 End Fraction equals 13
12a = 13
Start Fraction 1 over 2 End Fraction a equals 13
2a = 13
None of the provided equations represents Justin's age.
The correct equation representing Justin's age, a, would be: a + 12 = 13.
To find Justin's age, we need to set up an equation based on the information given.
Kendra's age is half the age of Justin, and we know Kendra is 13 years old. So, we can write the equation as:
Kendra's age = 1/2 * Justin's age
Substituting Kendra's age (13) into the equation gives us:
13 = 1/2 * Justin's age
To isolate Justin's age, we need to solve for it by multiplying both sides of the equation by 2:
2 * 13 = Justin's age
Therefore, Justin's age is 26.
Now let's look at the equation options to find which one represents Justin's age (a):
1) 13a = 2 - This equation does not match the solution we found for Justin's age, so it is not correct.
2) 13 a equals 2 - This equation also does not match the solution we found for Justin's age, so it is not correct.
3) a + 12 = 13 - This equation does not involve the information about Kendra's age being half of Justin's age, so it is not correct.
4) 12a = 13 - This equation matches the solution we found for Justin's age (a = 26), so this is the correct equation that represents Justin's age.
Therefore, the correct equation is 12a = 13.