Fill in the blanks.
Adam has ten times as many stickers as Bryan.
Adam gave 144 to Bryan.
In the end, Adam has twice as many stickers as Bryan.
- Difference in the number of stickers between Adam and Bryan at first = _____ u
- Difference in the number of stickers between Adam and Bryan in the end = _____ u
- Difference in the number of stickers Adam has at first and in the end = _____ u
- Difference in the number of stickers Bryan has at first and in the end = _____ u
|
Adam |
Bryan |
Total |
Before |
10 x 3 = 30 u |
1 x 3 = 3 u |
11 x 3 = 33 u |
Change |
- 144 |
+ 144 |
|
After |
2 x 11 = 22 u |
1 x 11 = 11 u |
3 x 11 = 33 u |
(a)
Change X times into units.
There is an internal transfer of 144 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 3 is 33.
Number of stickers that Adam gives to Bryan
= 30 u - 22 u
= 8 u
Difference in the number of stickers between Adam and Bryan at first
= 30 u - 3 u
= 27 u
(b)
Difference in the number of stickers between Adam and Bryan in the end
= 22 u - 11 u
= 11 u
(c)
Difference in the number of stickers that Adam has at first and in the end
= 30 u - 22 u
= 8 u
(d)
Difference in the number of stickers that Bryan has at first and in the end
= 11 u - 3 u
= 8 u
Answer(s): (a) 27; (b) 11; (c) 8; (d) 8