1
00:00:00,800 --> 00:00:19,400


2
00:00:19,500 --> 00:00:25,700
So this problem I put the words there so 
you can refer back to it.

3
00:00:25,800 --> 00:00:28,400
Jenny picks some apples from a tree.

4
00:00:28,500 --> 00:00:37,000
Bobby picks three times as many apples as 
Jenny, but then he loses 16 of them on the 
way home.

5
00:00:37,100 --> 00:00:41,300
When they get home they discover they have 
the same number of apples.

6
00:00:41,400 --> 00:00:45,700
How many apples did each of them pick?

7
00:00:45,800 --> 00:00:46,600
uhmmm

8
00:00:46,700 --> 00:00:48,400
So, does that make sense?

9
00:00:48,500 --> 00:00:50,100
Kind of

10
00:00:50,200 --> 00:00:52,900
so ok, do you have any spots that you are 
unsure about?

11
00:00:53,000 --> 00:00:58,300
When they say that they discovered they have 
the same number of apples.

12
00:00:58,400 --> 00:00:59,100
Oh that means

13
00:00:59,200 --> 00:01:02,800
they had a different amount when they first 
picked them

14
00:01:02,900 --> 00:01:06,700
but because he lost some when they got home,

15
00:01:06,800 --> 00:01:09,900
they have the same number.

16
00:01:10,000 --> 00:01:12,800
So when they get home they havethe same number 
of apples.

17
00:01:12,900 --> 00:01:15,700
So they both had five or they both had ten 
or they both had however many.

18
00:01:15,800 --> 00:01:16,000
Ohhhh

19
00:01:16,100 --> 00:01:18,700
But when they started they had different 
amount

20
00:01:18,800 --> 00:01:19,100
Uhh…yes

21
00:01:19,200 --> 00:01:21,900
because he lost them they now have the same 
number.

22
00:01:22,000 --> 00:01:25,700
So how many apples do you think they started 
with?

23
00:01:25,800 --> 00:01:28,400
Together like

24
00:01:28,500 --> 00:01:30,400
No, each of them.

25
00:01:30,500 --> 00:01:33,900
How many do you think Jenny had and how many 
do you think bobby had?

26
00:01:34,000 --> 00:01:36,600
How.. how would you go about solving this 
problem?

27
00:01:36,700 --> 00:01:37,800
What could you do?

28
00:01:37,900 --> 00:01:40,400
uhhmmm..

29
00:01:40,500 --> 00:01:43,300
like you divide

30
00:01:43,400 --> 00:01:44,600
Divide what?

31
00:01:44,700 --> 00:01:46,900
uhhh.. what

32
00:01:47,000 --> 00:01:50,000
bobby had to what Jenny had?

33
00:01:50,100 --> 00:01:53,900
We could but we know that should be three.

34
00:01:54,000 --> 00:01:57,000
But the problem is we don’t know what each
 
of them either of them had.

35
00:01:57,100 --> 00:02:00,000
So what would be another thing we could do?

36
00:02:00,100 --> 00:02:03,700
uh..

37
00:02:03,800 --> 00:02:06,800
Find out how much bobby had at the beginning?

38
00:02:06,900 --> 00:02:12,000
yeah so any idea any guess of how many bobby 
had?

39
00:02:12,100 --> 00:02:12,900
Uhhh..

40
00:02:13,000 --> 00:02:19,500


41
00:02:19,600 --> 00:02:20,500
uhh

42
00:02:20,600 --> 00:02:24,500


43
00:02:24,600 --> 00:02:27,800
Just let’s make a guess and see if we can.. 
can get this to work out.

44
00:02:27,900 --> 00:02:36,600
Let’s guess bobby had 30, and how many do 
we know Jenny had?

45
00:02:36,700 --> 00:02:37,800
Uhhhmm

46
00:02:37,900 --> 00:02:39,900
three times less

47
00:02:40,000 --> 00:02:42,900
Three times less right, so how many would 
she have?

48
00:02:43,000 --> 00:02:44,100
10

49
00:02:44,200 --> 00:02:44,400
Ok

50
00:02:44,500 --> 00:02:46,400
alright very good.

51
00:02:46,500 --> 00:02:53,000
Now the question is so in this case it would 
be 10 but what happens

52
00:02:53,100 --> 00:02:54,500
how many does he have?

53
00:02:54,600 --> 00:02:56,600
He loses some

54
00:02:56,700 --> 00:02:58,500
He loses how many?

55
00:02:58,600 --> 00:02:59,600
uhhmm

56
00:02:59,700 --> 00:03:00,500
16

57
00:03:00,600 --> 00:03:04,800
So how many would he have after he lost them?

58
00:03:04,900 --> 00:03:06,400
Uhmmm

59
00:03:06,500 --> 00:03:12,300


60
00:03:12,400 --> 00:03:14,600
You can go ahead and write on here and figure 
that out.

61
00:03:14,700 --> 00:03:22,500


62
00:03:22,600 --> 00:03:23,400
14

63
00:03:23,500 --> 00:03:24,200
Ok

64
00:03:24,300 --> 00:03:25,900
do they have the same number?

65
00:03:26,000 --> 00:03:26,700
No

66
00:03:26,800 --> 00:03:28,800
They don’t so we know it’s not 30.

67
00:03:28,900 --> 00:03:32,400
So, if you were to guess another number what 
do you
 think it might be?

68
00:03:32,500 --> 00:03:34,500
uhhmm...

69
00:03:34,600 --> 00:03:36,100


70
00:03:36,200 --> 00:03:37,500
20

71
00:03:37,600 --> 00:03:38,700
Ok,

72
00:03:38,800 --> 00:03:43,600
let’s go let’s try 21 because the numbers 
divide a little bit easier by 3.

73
00:03:43,700 --> 00:03:47,900
But go ahead, so why don’t you write down 
21 for bobby?

74
00:03:48,000 --> 00:03:50,700
uhmm Jenny

75
00:03:50,800 --> 00:03:53,000
So, how many would she have then?

76
00:03:53,100 --> 00:03:57,300
uhhhmm 7

77
00:03:57,400 --> 00:03:58,400
Ok

78
00:03:58,500 --> 00:04:01,300
Ok,

79
00:04:01,400 --> 00:04:05,200
then 16…

80
00:04:05,300 --> 00:04:17,500


81
00:04:17,600 --> 00:04:18,200
5

82
00:04:18,300 --> 00:04:18,900
Ok

83
00:04:19,000 --> 00:04:20,400
not the same number is it?

84
00:04:20,500 --> 00:04:21,100
No

85
00:04:21,200 --> 00:04:28,400
Alright, the first time when we did the subtraction 
bobby still had more than jenny

86
00:04:28,500 --> 00:04:29,200
Uh ah

87
00:04:29,300 --> 00:04:32,100
this time when we did the subtraction bobby 
had less than jenny.

88
00:04:32,200 --> 00:04:34,300
That’s more than 21

89
00:04:34,400 --> 00:04:36,000
yeah,

90
00:04:36,100 --> 00:04:37,100
so where..

91
00:04:37,200 --> 00:04:39,400
where is the right number?

92
00:04:39,500 --> 00:04:42,700
Is it ..do you think it’s more than 30

93
00:04:42,800 --> 00:04:43,600
no

94
00:04:43,700 --> 00:04:47,000
Ok somewhere we know now,somewhere between 
21 and 30 right.

95
00:04:47,100 --> 00:04:48,800
So, what would beanother good guess?

96
00:04:48,900 --> 00:04:49,900
27

97
00:04:50,000 --> 00:04:51,400
ok

98
00:04:51,500 --> 00:04:52,900
let’s try 27.

99
00:04:53,000 --> 00:04:58,000
Here let me give you another piece of paper 
you will be able to do more work.

100
00:04:58,100 --> 00:05:00,900


101
00:05:01,000 --> 00:05:01,700
then

102
00:05:01,800 --> 00:05:03,200
Write 27

103
00:05:03,300 --> 00:05:03,400
27

104
00:05:03,500 --> 00:05:04,300
ah uh

105
00:05:04,400 --> 00:05:10,000
He has 9.

106
00:05:10,100 --> 00:05:10,400
Ok

107
00:05:10,500 --> 00:05:12,700
so that would be how many jenny has?

108
00:05:12,800 --> 00:05:13,600
Yeah..

109
00:05:13,700 --> 00:05:14,600
hmm

110
00:05:14,700 --> 00:05:19,500


111
00:05:19,600 --> 00:05:21,000
11

112
00:05:21,100 --> 00:05:21,500
Ok,

113
00:05:21,600 --> 00:05:23,700
so still doesn’t match up?

114
00:05:23,800 --> 00:05:24,300
yeah

115
00:05:24,400 --> 00:05:27,400
But this time he bobby has more in the end,

116
00:05:27,500 --> 00:05:29,900
so here it was 14 and 10,

117
00:05:30,000 --> 00:05:31,800
here its 11 and 9

118
00:05:31,900 --> 00:05:34,300
and when we went all the way to 21 then he 
had less.

119
00:05:34,400 --> 00:05:37,600
So it’s less than 27

120
00:05:37,700 --> 00:05:39,700
So what would be a good guess?

121
00:05:39,800 --> 00:05:41,600
uhmm

122
00:05:41,700 --> 00:05:53,700


123
00:05:53,800 --> 00:05:54,700
24

124
00:05:54,800 --> 00:05:55,800
Let’s try 24.

125
00:05:55,900 --> 00:05:59,600


126
00:05:59,700 --> 00:06:01,100
Then 8

127
00:06:01,200 --> 00:06:08,900


128
00:06:09,000 --> 00:06:09,400
Oh be careful

129
00:06:09,500 --> 00:06:09,600
Oh

130
00:06:09,700 --> 00:06:10,600
14 -

131
00:06:10,700 --> 00:06:11,300
Oh 8

132
00:06:11,400 --> 00:06:13,700
Oh that’s very nice, look at that.

133
00:06:13,800 --> 00:06:13,900
[little laugh]

134
00:06:14,000 --> 00:06:16,300
So they have the same number.

135
00:06:16,400 --> 00:06:19,100
So how many apples did each of them start 
with?

136
00:06:19,200 --> 00:06:20,200
24

137
00:06:20,300 --> 00:06:22,200
that’s how many bobby started with

138
00:06:22,300 --> 00:06:23,900
oh..

139
00:06:24,000 --> 00:06:26,900
so jenny started with 8 and he started with 
24

140
00:06:27,000 --> 00:06:28,300
ok

141
00:06:28,400 --> 00:06:30,000
let’s just go back and look at the problem

142
00:06:30,100 --> 00:06:32,700
finally just make sure we are convinced thats 
the right number

143
00:06:32,800 --> 00:06:33,000
Ok

144
00:06:33,100 --> 00:06:36,200
so jenny and bobby picks some apples from 
a tree.

145
00:06:36,300 --> 00:06:37,500
Bobby picks three times as many.

146
00:06:37,600 --> 00:06:41,900
We are thinking 24 than jenny, and 24 is 
three times 8

147
00:06:42,000 --> 00:06:42,100
uhmm

148
00:06:42,200 --> 00:06:42,800
so that works.

149
00:06:42,900 --> 00:06:51,700
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.

150
00:06:51,800 --> 00:06:52,700
They both have 8.

151
00:06:52,800 --> 00:06:54,600
So we figured it out.

152
00:06:54,700 --> 00:06:55,300
yeah

153
00:06:55,400 --> 00:06:57,200
Alright very good thank you.

154
00:06:57,300 --> 00:07:02,100


