when a number is added to 1/5 of itself, the result is 24. the equation that models this problem is n 1/5 n = 24. what is the value n? n = 18 n = 20 n = 21 4/5 n = 23 4/5
Let n be unknown number, then 1/5 of this number is 1/5n. When you add these two numbers, you get
\(n+\dfrac{1}{5} n.\)
You know that this sum is equal to 24, so
\(n+\dfrac{1}{5} n=24.\)
1. Multiply this equation by 5:
\(5n+n=120.\)
2. Solve it:
\(6n=120,\ =120:6,\ =20.\)
Answer: n=20, correct choice is B.