Question

ahmed is n years old.
maria is twice as old as ahmed.
gia is 3 years older than maria.
the combined age of the three children is 38.
which of the following equations models the combined age of the three children?
○ 3n + 5 = 38
○ 5n + 3 = 38
○ 5n + 4 = 38
○ 3n + 3 = 38

Explanation:

Step1: Find Maria's age

Ahmed is \( n \) years old. Maria is twice as old as Ahmed, so Maria's age is \( 2n \).

Step2: Find Gia's age

Gia is 3 years older than Maria. Since Maria's age is \( 2n \), Gia's age is \( 2n + 3 \).

Step3: Find the combined age

The combined age of Ahmed (\( n \)), Maria (\( 2n \)), and Gia (\( 2n + 3 \)) is \( n + 2n + (2n + 3) \). Simplify this: \( n + 2n + 2n + 3 = 5n + 3 \). We know the combined age is 38, so the equation is \( 5n + 3 = 38 \).

Answer:

\( 5n + 3 = 38 \) (the option with this equation)