Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 9 : 7.
Adam gives 117 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 |
9 x 5 = 45 u |
7 x 5 = 35 u |
16 x 5 = 80 u |
Change |
- 117 |
+ 117 |
|
After |
2 x 16 = 32 u |
3 x 16 = 48 u |
5 x 16 = 80 u |
(a)
Change ratio into units.
There is an internal transfer of 117 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 16 and 5 is 80.
Number of stickers that Adam gives to Bryan
= 45 u - 32 u
= 13 u
Number of stickers that Bryan has at first = 35 u
(b)
Number of stickers that Bryan has in the end = 48 u
Change in the number of stickers that Bryan has
= 48 u - 35 u
= 13 u
(c)
Number of stickers that Adam has at first = 45 u
(d)
Number of stickers that Adam has in the end = 32 u
Answer(s): (a) 35; (b) 13; (c) 45; (d) 32