Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 3.
Adam gives 116 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 2 : 7.
- Number of stickers that Bryan has at first = _____ u
- Change in the number of stickers that Bryan has = _____ u
- Number of stickers that Adam has at first = _____ u
- Number of stickers that Adam has in the end = _____ u
|
Adam |
Bryan |
Total |
Before |
5 x 9 = 45 u |
3 x 9 = 27 u |
8 x 9 = 72 u |
Change |
- 116 |
+ 116 |
|
After |
2 x 8 = 16 u |
7 x 8 = 56 u |
9 x 8 = 72 u |
(a)
Change ratio into units.
There is an internal transfer of 116 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 8 and 9 is 72.
Number of stickers that Adam gives to Bryan
= 45 u - 16 u
= 29 u
Number of stickers that Bryan has at first = 27 u
(b)
Number of stickers that Bryan has in the end = 56 u
Change in the number of stickers that Bryan has
= 56 u - 27 u
= 29 u
(c)
Number of stickers that Adam has at first = 45 u
(d)
Number of stickers that Adam has in the end = 16 u
Answer(s): (a) 27; (b) 29; (c) 45; (d) 16