Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 9 : 2.
Adam gives 260 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 8 : 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 |
9 x 17 = 153 u |
2 x 17 = 34 u |
11 x 17 = 187 u |
Change |
- 260 |
+ 260 |
|
After |
8 x 11 = 88 u |
9 x 11 = 99 u |
17 x 11 = 187 u |
(a)
Change ratio into units.
There is an internal transfer of 260 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 17 is 187.
Number of stickers that Adam gives to Bryan
= 153 u - 88 u
= 65 u
Number of stickers that Bryan has at first = 34 u
(b)
Number of stickers that Bryan has in the end = 99 u
Change in the number of stickers that Bryan has
= 99 u - 34 u
= 65 u
(c)
Number of stickers that Adam has at first = 153 u
(d)
Number of stickers that Adam has in the end = 88 u
Answer(s): (a) 34; (b) 65; (c) 153; (d) 88