Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 1.
Adam gives 136 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 7 : 8.
- 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 |
3 x 15 = 45 u |
1 x 15 = 15 u |
4 x 15 = 60 u |
Change |
- 136 |
+ 136 |
|
After |
7 x 4 = 28 u |
8 x 4 = 32 u |
15 x 4 = 60 u |
(a)
Change ratio into units.
There is an internal transfer of 136 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 4 and 15 is 60.
Number of stickers that Adam gives to Bryan
= 45 u - 28 u
= 17 u
Number of stickers that Bryan has at first = 15 u
(b)
Number of stickers that Bryan has in the end = 32 u
Change in the number of stickers that Bryan has
= 32 u - 15 u
= 17 u
(c)
Number of stickers that Adam has at first = 45 u
(d)
Number of stickers that Adam has in the end = 28 u
Answer(s): (a) 15; (b) 17; (c) 45; (d) 28