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 110 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 9 : 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 19 = 38 u |
1 x 19 = 19 u |
3 x 19 = 57 u |
Change |
- 110 |
+ 110 |
|
After |
9 x 3 = 27 u |
10 x 3 = 30 u |
19 x 3 = 57 u |
(a)
Change ratio into units.
There is an internal transfer of 110 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 3 and 19 is 57.
Number of stickers that Adam gives to Bryan
= 38 u - 27 u
= 11 u
Number of stickers that Bryan has at first = 19 u
(b)
Number of stickers that Bryan has in the end = 30 u
Change in the number of stickers that Bryan has
= 30 u - 19 u
= 11 u
(c)
Number of stickers that Adam has at first = 38 u
(d)
Number of stickers that Adam has in the end = 27 u
Answer(s): (a) 19; (b) 11; (c) 38; (d) 27