Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 2 : 1.
Adam gives 119 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 3 : 10.
- 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 |
2 x 13 = 26 u |
1 x 13 = 13 u |
3 x 13 = 39 u |
Change |
- 119 |
+ 119 |
|
After |
3 x 3 = 9 u |
10 x 3 = 30 u |
13 x 3 = 39 u |
(a)
Change ratio into units.
There is an internal transfer of 119 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 3 and 13 is 39.
Number of stickers that Adam gives to Bryan
= 26 u - 9 u
= 17 u
Number of stickers that Bryan has at first = 13 u
(b)
Number of stickers that Bryan has in the end = 30 u
Change in the number of stickers that Bryan has
= 30 u - 13 u
= 17 u
(c)
Number of stickers that Adam has at first = 26 u
(d)
Number of stickers that Adam has in the end = 9 u
Answer(s): (a) 13; (b) 17; (c) 26; (d) 9