+0  
 
0
830
11
avatar

Xuxian and Rachel had the same number of marbles. After Rachel gave away 22 marbles, Rachel had 3 times as many marbles as Xuxian. How many marbles did each of them have at first

Guest Nov 10, 2014

Best Answer 

 #11
avatar+92806 
+8

I'm with Happy on this one but Happy's comment is correct - It definitely did not say who the marbles were given to.

 

So the question made no sense and there are at least 2 'correct' answers.  LOL

Melody  Nov 11, 2014
 #1
avatar+7188 
+8

They both start with 33.  33-22=11.

11*3=33.

That is your answer.

happy7  Nov 10, 2014
 #2
avatar+87333 
+8

This question makes no sense.....if they both start wiith the same number and Rachel gives 22 of them away, she can't end up with 3 times as many marbles as Xuxian

 

CPhill  Nov 10, 2014
 #3
avatar+7188 
+3

I know what (s)he meant.  She meant the other had three times as many

happy7  Nov 10, 2014
 #4
avatar+87333 
+3

Ah...  I see what you mean, happy7.......can you show how you got your answer.....or did you just use logic???

 

CPhill  Nov 10, 2014
 #5
avatar+7188 
+8

I guessed and tested.  I knew that they would have to have more than 22 marbles at the start.  Then I thought, Maybe I'll start at thirty and work my way up.

30-22=8.

8*3=24.

Too low.

35-22=13

13*3=39

Too high.

Maybe in the middle.

33-22=11

11*3=33

Just right.

And there you have it.  The answer

happy7  Nov 10, 2014
 #6
avatar+87333 
+8

OK....I used to do that, too!!!.....it can be effective.....but sometimes lengthy....

Let's solve it with some math

Let x be the number they both start with

And when Rachel gives away 22, Xuxian has 3 times as many.

So, at the end, Rachel has x -22  and Xuxian has x + 22

And 3 times the number she has = Xuxian's total......so we have

3(x - 22) = x + 22    simplify

3x - 66 = x + 22     subtract x from both sides

2x - 66 = 22       add 66 to both sides

2x = 88             divide both sides by 2

x = 44     this is what they started with

So, Rachel ends up with 44 - 22 = 22

And Xuxian ends up with 44 + 22 = 66

 

CPhill  Nov 10, 2014
 #7
avatar+7188 
+8

Your answer could be correct... but it didn't say who Rachel gave her marbles to.  So I guess we are both right.. or could be right at least... the question isn't specific.

happy7  Nov 10, 2014
 #8
avatar+7188 
+3

So many typos I made....UGH

happy7  Nov 10, 2014
 #9
avatar+87333 
+3

That's true, happy7......I hadn't thought of that point!!!...we could both be correct !!!

Well, anyway......we both got some points out of the deal ......!!!  LOL!!!

 

CPhill  Nov 10, 2014
 #10
avatar+7188 
+8

At least both of our answers could fit.......

happy7  Nov 10, 2014
 #11
avatar+92806 
+8
Best Answer

I'm with Happy on this one but Happy's comment is correct - It definitely did not say who the marbles were given to.

 

So the question made no sense and there are at least 2 'correct' answers.  LOL

Melody  Nov 11, 2014

3 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.