Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 6 : 5.
Adam gives 42 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 2.
- 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 |
6 x 3 = 18 u |
5 x 3 = 15 u |
11 x 3 = 33 u |
Change |
- 42 |
+ 42 |
|
After |
1 x 11 = 11 u |
2 x 11 = 22 u |
3 x 11 = 33 u |
(a)
Change ratio into units.
There is an internal transfer of 42 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 11 and 3 is 33.
Number of stickers that Adam gives to Bryan
= 18 u - 11 u
= 7 u
Number of stickers that Bryan has at first = 15 u
(b)
Number of stickers that Bryan has in the end = 22 u
Change in the number of stickers that Bryan has
= 22 u - 15 u
= 7 u
(c)
Number of stickers that Adam has at first = 18 u
(d)
Number of stickers that Adam has in the end = 11 u
Answer(s): (a) 15; (b) 7; (c) 18; (d) 11