# Help me with this Challenging Word Problem level 3

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I have the answer Singapore supplied. But i do not understand it. I get a different answer, and can't figure their solution out. Even though they drew it out!

Here it is:

Rita had 24 more barrettes than Zoe. After she gave 5 barrettes to Zoe, Rita had twice as many barrettes as Zoe. How many barrettes did Rita have left?

Thanks.

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Before:

[--- Z ---]

[--- Z ---][24]

After:

[--- Z ---][5]

[--- Z ---][5][--- Z ---][5]

So 24 must equal Z + 10. Z = 14. R = 38.

(typed on my phone - ack!)

eta: I think I'm wrong. :lol:

eta again: no wait, I'm right. :lol:

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I got 28. boscopup seems to be right except for the last step. 14x2 = 28

Rita had 33 and gave away 5 to make 28.

Zoe had 9 and accepted 5 to make 14.

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After:

Rita

------------------|------------------|

Zoe

------------------|

Before:

Rita

------------------|------------------|-5-|

Zoe

--------------|-5-|

(Rita's first | should line up with Zoe's second.)

We're told that the red distance is 24...

24-5-5 = 14

One segment represents 14 barrettes.

Rita has 28 barrettes left.

(names corrected)

Start:

Rita -- 33

Zoe -- 9

End:

Rita -- 28

Zoe -- 14

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This is my response to the first person. Going back to look at the others.

Well, I did it differently but I understand your solution perfectly, and it's the same answer I got. However it is not the correct one according to the answer key.

Anyone else?

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This is my response to the first person. Going back to look at the others.

Well, I did it differently but I understand your solution perfectly, and it's the same answer I got. However it is not the correct one according to the answer key.

Anyone else?

It would be helpful if you provided the answer from the key.

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ETA:

Her working is correct. Just got the names reverse for answer

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Still understanding boscopup but not the others (they were right) I'm feeling completely dense on this one. Why can't I follow the logic,!

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AND, she solved it in the logical way - After first, then Before. Most books will show Before first. Moira's way is easier to explain to a child. :)

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Still understanding boscopup but not the others (they were right) I'm feeling completely dense on this one. Why can't I follow the logic,!

Nmoira has the names reversed

Start:

Rita -- 33

Zoe -- 9

End:

Rita -- 28

Zoe -- 14

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Before:

[--- Z ---]

[--- Z ---][24]

After:

[--- Z ---][5]

[--- Z ---][5][--- Z ---][5]

So 24 must equal Z + 10. Z = 14. R = 38.

(typed on my phone - ack!)

eta: I think I'm wrong. :lol:

eta again: no wait, I'm right. :lol:

If you're going to do it this way, the second step will look something like this. It is *not* a before and after showing both girls, and it is a bit convoluted in the explaining.

[--- Z ---][5][---z---][5]

[--- Z ---][.......24 - 5]

(These should line up exactly.)

So 24 - 5 = z + 10

Z = 9

I get 28.

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R-5 = 2(Z+2.5)

R=2Z+10

R=Z+24

Z+24=2Z+10

Z=14

That was my first attempt and i think it works?

Whoops I mean third attempt.

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