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So this problem I put the words there so you can refer back to it.
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Jenny picks some apples from a tree.
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Bobby picks three times as many apples as Jenny, but then he loses 16 of them on the way home.
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When they get home they discover they have the same number of apples.
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How many apples did each of them pick?
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So, does that make sense?
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so ok, do you have any spots that you are unsure about?
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When they say that they discovered they have the same number of apples.
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Oh that means
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they had a different amount when they first picked them
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but because he lost some when they got home,
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they have the same number.
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So when they get home they havethe same number of apples.
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So they both had five or they both had ten or they both had however many.
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But when they started they had different amount
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because he lost them they now have the same number.
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So how many apples do you think they started with?
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Together like
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No, each of them.
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How many do you think Jenny had and how many do you think bobby had?
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How.. how would you go about solving this problem?
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What could you do?
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like you divide
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Divide what?
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uhhh.. what
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bobby had to what Jenny had?
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We could but we know that should be three.
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But the problem is we don’t know what each
of them either of them had.
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So what would be another thing we could do?
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Find out how much bobby had at the beginning?
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yeah so any idea any guess of how many bobby had?
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Just let’s make a guess and see if we can.. can get this to work out.
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Let’s guess bobby had 30, and how many do we know Jenny had?
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three times less
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Three times less right, so how many would she have?
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alright very good.
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Now the question is so in this case it would be 10 but what happens
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how many does he have?
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He loses some
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He loses how many?
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So how many would he have after he lost them?
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You can go ahead and write on here and figure that out.
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do they have the same number?
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They don’t so we know it’s not 30.
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So, if you were to guess another number what do you
think it might be?
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let’s go let’s try 21 because the numbers divide a little bit easier by 3.
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But go ahead, so why don’t you write down 21 for bobby?
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So, how many would she have then?
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not the same number is it?
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Alright, the first time when we did the subtraction bobby still had more than jenny
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this time when we did the subtraction bobby had less than jenny.
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That’s more than 21
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where is the right number?
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Is it ..do you think it’s more than 30
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Ok somewhere we know now,somewhere between 21 and 30 right.
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So, what would beanother good guess?
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let’s try 27.
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Here let me give you another piece of paper you will be able to do more work.
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so that would be how many jenny has?
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so still doesn’t match up?
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But this time he bobby has more in the end,
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so here it was 14 and 10,
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here its 11 and 9
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and when we went all the way to 21 then he had less.
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So it’s less than 27
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So what would be a good guess?
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Let’s try 24.
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Oh be careful
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Oh that’s very nice, look at that.
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[little laugh]
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So they have the same number.
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So how many apples did each of them start with?
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that’s how many bobby started with
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so jenny started with 8 and he started with 24
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let’s just go back and look at the problem
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finally just make sure we are convinced thats the right number
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so jenny and bobby picks some apples from a tree.
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Bobby picks three times as many.
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We are thinking 24 than jenny, and 24 is three times 8
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so that works.
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He loses 16 on the way home so there is the losing 16 to give him 8 and now they have the same number of apples.
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They both have 8.
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So we figured it out.
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Alright very good thank you.