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 78 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 5 : 9.
- 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 14 = 28 u |
1 x 14 = 14 u |
3 x 14 = 42 u |
Change |
- 78 |
+ 78 |
|
After |
5 x 3 = 15 u |
9 x 3 = 27 u |
14 x 3 = 42 u |
(a)
Change ratio into units.
There is an internal transfer of 78 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 3 and 14 is 42.
Number of stickers that Adam gives to Bryan
= 28 u - 15 u
= 13 u
Number of stickers that Bryan has at first = 14 u
(b)
Number of stickers that Bryan has in the end = 27 u
Change in the number of stickers that Bryan has
= 27 u - 14 u
= 13 u
(c)
Number of stickers that Adam has at first = 28 u
(d)
Number of stickers that Adam has in the end = 15 u
Answer(s): (a) 14; (b) 13; (c) 28; (d) 15