Fill in the blanks.
Adam has ten times as many stickers as Bryan.
Adam gave 34 to Bryan.
In the end, Adam has eight 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 9 = 90 u |
1 x 9 = 9 u |
11 x 9 = 99 u |
Change |
- 34 |
+ 34 |
|
After |
8 x 11 = 88 u |
1 x 11 = 11 u |
9 x 11 = 99 u |
(a)
Change X times into units.
There is an internal transfer of 34 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 9 is 99.
Number of stickers that Adam gives to Bryan
= 90 u - 88 u
= 2 u
Difference in the number of stickers between Adam and Bryan at first
= 90 u - 9 u
= 81 u
(b)
Difference in the number of stickers between Adam and Bryan in the end
= 88 u - 11 u
= 77 u
(c)
Difference in the number of stickers that Adam has at first and in the end
= 90 u - 88 u
= 2 u
(d)
Difference in the number of stickers that Bryan has at first and in the end
= 11 u - 9 u
= 2 u
Answer(s): (a) 81; (b) 77; (c) 2; (d) 2