Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 9 : 8.
Adam gives 24 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 |
9 x 7 = 63 u |
8 x 7 = 56 u |
17 x 7 = 119 u |
Change |
- 24 |
+ 24 |
|
After |
3 x 17 = 51 u |
4 x 17 = 68 u |
7 x 17 = 119 u |
(a)
Change ratio into units.
There is an internal transfer of 24 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 17 and 7 is 119.
Number of stickers that Adam gives to Bryan
= 63 u - 51 u
= 12 u
Number of stickers that Bryan has at first = 56 u
(b)
Number of stickers that Bryan has in the end = 68 u
Change in the number of stickers that Bryan has
= 68 u - 56 u
= 12 u
(c)
Number of stickers that Adam has at first = 63 u
(d)
Number of stickers that Adam has in the end = 51 u
Answer(s): (a) 56; (b) 12; (c) 63; (d) 51