# Mathematiczz (The Problem Solving)

posted by
**Ayra**
.

A girl kept every doll she had receive since she was a baby. Later, however, she decided to get rid of most of them. She discarded 1/3 of the collection. Then, she gave 2/3 of the remaining dolls to a little girl who lived nearby. The rest of the dolls, the very best ones, she kept. There were 12 of these. How many dolls did she have in her collection?

Please help me!!!!! I am drowning in this problem!!!!

<<A girl kept every doll she had receive since she was a baby. Later, however, she decided to get rid of most of them. She discarded 1/3 of the collection. Then, she gave 2/3 of the remaining dolls to a little girl who lived nearby. The rest of the dolls, the very best ones, she kept. There were 12 of these. How many dolls did she have in her collection?>>

Is this what she **kept**?

2/3*1/3 of the original collection

Should the problem read then..

Later, however, she decided to get rid of most of them. She **kept** 2/3 of the collection. Then, she **kept** 1/3 of the remaining dolls

Sometimes you have to reread problems to see what they mean...

A girl kept every doll she had receive since she was a baby. Later, however, she decided to get rid of most of them. She discarded 1/3 of the collection. Then, she gave 2/3 of the remaining dolls to a little girl who lived nearby. The rest of the dolls, the very best ones, she kept. There were 12 of these. How many dolls did she have in her collection? <This is the correct question.> (Are you sure of your answer?)

Let d represent the number of dolls in her collection. We're told she gave away 1/3 of the d so she has (2/3)d remaining. She then gave away (2/3)*(2/3)d, two-thirds of the remaining amount, so she still has (1/3)(2/3)d.

We're then told that

(1/3)(2/3)d=12

Can you figure out d from this equation?