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 1 : 6.
- 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 7 = 14 u |
1 x 7 = 7 u |
3 x 7 = 21 u |
Change |
- 110 |
+ 110 |
|
After |
1 x 3 = 3 u |
6 x 3 = 18 u |
7 x 3 = 21 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 7 is 21.
Number of stickers that Adam gives to Bryan
= 14 u - 3 u
= 11 u
Number of stickers that Bryan has at first = 7 u
(b)
Number of stickers that Bryan has in the end = 18 u
Change in the number of stickers that Bryan has
= 18 u - 7 u
= 11 u
(c)
Number of stickers that Adam has at first = 14 u
(d)
Number of stickers that Adam has in the end = 3 u
Answer(s): (a) 7; (b) 11; (c) 14; (d) 3