Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 4.
Adam gives 125 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 5 : 9.
- 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 14 = 70 u |
4 x 14 = 56 u |
9 x 14 = 126 u |
Change |
- 125 |
+ 125 |
|
After |
5 x 9 = 45 u |
9 x 9 = 81 u |
14 x 9 = 126 u |
(a)
Change ratio into units.
There is an internal transfer of 125 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 9 and 14 is 126.
Number of stickers that Adam gives to Bryan
= 70 u - 45 u
= 25 u
Number of stickers that Bryan has at first = 56 u
(b)
Number of stickers that Bryan has in the end = 81 u
Change in the number of stickers that Bryan has
= 81 u - 56 u
= 25 u
(c)
Number of stickers that Adam has at first = 70 u
(d)
Number of stickers that Adam has in the end = 45 u
Answer(s): (a) 56; (b) 25; (c) 70; (d) 45