# Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of purses in Cierra's collection. Then find the number of purses in Cierra's collection if Aisha has 12 purses?

Apr 14, 2018

Cierra has 9 purses.

#### Explanation:

Let $x$ be the number of Aisha's purses.

We are told that Cierra has 3 more than one half of $x$

$\therefore$ Cierra has $3 + \frac{x}{2}$ purses.

If Aisha has 12 purses $\to x = 12$

Hence, Cierra has $3 + \frac{12}{2} = 3 + 6 = 9$ purses.