Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 6 : 1.
Adam gives 96 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 2 : 3.
- 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 |
6 x 5 = 30 u |
1 x 5 = 5 u |
7 x 5 = 35 u |
Change |
- 96 |
+ 96 |
|
After |
2 x 7 = 14 u |
3 x 7 = 21 u |
5 x 7 = 35 u |
(a)
Change ratio into units.
There is an internal transfer of 96 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 7 and 5 is 35.
Number of stickers that Adam gives to Bryan
= 30 u - 14 u
= 16 u
Number of stickers that Bryan has at first = 5 u
(b)
Number of stickers that Bryan has in the end = 21 u
Change in the number of stickers that Bryan has
= 21 u - 5 u
= 16 u
(c)
Number of stickers that Adam has at first = 30 u
(d)
Number of stickers that Adam has in the end = 14 u
Answer(s): (a) 5; (b) 16; (c) 30; (d) 14