+0

# 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

0
1103
11

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

Nov 10, 2014

#11
+95360
+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

Nov 11, 2014

#1
+7188
+8

11*3=33.

Nov 10, 2014
#2
+94558
+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

Nov 10, 2014
#3
+7188
+3

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

Nov 10, 2014
#4
+94558
+3

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

Nov 10, 2014
#5
+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

Nov 10, 2014
#6
+94558
+8

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

Let's solve it with some math

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

Nov 10, 2014
#7
+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.

Nov 10, 2014
#8
+7188
+3

Nov 10, 2014
#9
+94558
+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!!!

Nov 10, 2014
#10
+7188
+8

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

Nov 10, 2014
#11
+95360
+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