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
+128406 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
+128406 Ah... I see what you mean, happy7.......can you show how you got your answer.....or did you just use logic???
+7188 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
+128406 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
+7188 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.
