Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 3 : 2.
Adam gives 18 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 3 : 4.
- 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 |
3 x 7 = 21 u |
2 x 7 = 14 u |
5 x 7 = 35 u |
Change |
- 18 |
+ 18 |
|
After |
3 x 5 = 15 u |
4 x 5 = 20 u |
7 x 5 = 35 u |
(a)
Change ratio into units.
There is an internal transfer of 18 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 5 and 7 is 35.
Number of stickers that Adam gives to Bryan
= 21 u - 15 u
= 6 u
Number of stickers that Bryan has at first = 14 u
(b)
Number of stickers that Bryan has in the end = 20 u
Change in the number of stickers that Bryan has
= 20 u - 14 u
= 6 u
(c)
Number of stickers that Adam has at first = 21 u
(d)
Number of stickers that Adam has in the end = 15 u
Answer(s): (a) 14; (b) 6; (c) 21; (d) 15