Question

translate the sentence into an equation using n as the unknown number. then solve the equa
5 increased by half a number is 11.
a. 5 + 0.5n = 11
n = 12
b. 5n + 0.5 = 11
n = 2.1
c. 5(0.5n) = 11
n = 4.4
d. 5n +0.5 = 11
n = 12

Explanation:

Step1: Analyze the sentence

"5 increased by half a number is 11" means 5 plus half of \( n \) equals 11. Half of \( n \) is \( 0.5n \), so the equation is \( 5 + 0.5n = 11 \).

Step2: Solve the equation

Subtract 5 from both sides: \( 0.5n = 11 - 5 = 6 \).
Multiply both sides by 2: \( n = 6\times2 = 12 \).
This matches option a.

Answer:

a. \( 5 + 0.5n = 11 \), \( n = 12 \)