Question

Janice is 12 years more than 2/5 of Donna's age. Janice is 37 years old. Write an algebraic equation to find Donna's age.

a) 37 = (2/5)D + 12
b) D = (2/5) * (37 - 12)
c) D = 37 + 12
d) 2/5D = 37 - 12

Answer 1

The algebraic equation based on the information that Janice is 37 and is 12 years more than 2/5 of Donna's age is 37 = (2/5)D + 12. Following the steps to solve for Donna's age, it is found that Donna is 62.5 years old.

Step-by-step explanation:

The question asks for an algebraic equation to find Donna's age based on the information that Janice is 37 years old and that her age is 12 years more than 2/5 of Donna's age. To solve for Donna's age (D), we can set up the equation using the given information.

Using the information provided, the correct algebraic equation is:

Janice = (2/5) * Donna's age + 12

Since Janice's age is given as 37:

37 = (2/5)D + 12

But this equation needs to be solved for D to find Donna's age. Let's write down the steps:

1. Subtract 12 from both sides of the equation to isolate the terms involving D:
2. 37 - 12 = (2/5)D
3. 25 = (2/5)D
4. Multiply both sides by 5/2 to solve for D:
5. (5/2)*25 = D
6. 62.5 = D

Therefore, Donna's age is 62.5 years.