Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 4.
Adam gives 176 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 7 : 10.
- 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 |
5 x 17 = 85 u |
4 x 17 = 68 u |
9 x 17 = 153 u |
Change |
- 176 |
+ 176 |
|
After |
7 x 9 = 63 u |
10 x 9 = 90 u |
17 x 9 = 153 u |
(a)
Change ratio into units.
There is an internal transfer of 176 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 9 and 17 is 153.
Number of stickers that Adam gives to Bryan
= 85 u - 63 u
= 22 u
Number of stickers that Bryan has at first = 68 u
(b)
Number of stickers that Bryan has in the end = 90 u
Change in the number of stickers that Bryan has
= 90 u - 68 u
= 22 u
(c)
Number of stickers that Adam has at first = 85 u
(d)
Number of stickers that Adam has in the end = 63 u
Answer(s): (a) 68; (b) 22; (c) 85; (d) 63