Fill in the blanks.
Adam has ten times as many stickers as Bryan.
Adam gave 11 to Bryan.
In the end, Adam has nine times 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 10 = 100 u |
1 x 10 = 10 u |
11 x 10 = 110 u |
Change |
- 11 |
+ 11 |
|
After |
9 x 11 = 99 u |
1 x 11 = 11 u |
10 x 11 = 110 u |
(a)
Change X times into units.
There is an internal transfer of 11 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 10 is 110.
Number of stickers that Adam gives to Bryan
= 100 u - 99 u
= 1 u
Difference in the number of stickers between Adam and Bryan at first
= 100 u - 10 u
= 90 u
(b)
Difference in the number of stickers between Adam and Bryan in the end
= 99 u - 11 u
= 88 u
(c)
Difference in the number of stickers that Adam has at first and in the end
= 100 u - 99 u
= 1 u
(d)
Difference in the number of stickers that Bryan has at first and in the end
= 11 u - 10 u
= 1 u
Answer(s): (a) 90; (b) 88; (c) 1; (d) 1