Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 4 : 1.
Adam gives 135 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 5 : 8.
- 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 |
4 x 13 = 52 u |
1 x 13 = 13 u |
5 x 13 = 65 u |
Change |
- 135 |
+ 135 |
|
After |
5 x 5 = 25 u |
8 x 5 = 40 u |
13 x 5 = 65 u |
(a)
Change ratio into units.
There is an internal transfer of 135 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 5 and 13 is 65.
Number of stickers that Adam gives to Bryan
= 52 u - 25 u
= 27 u
Number of stickers that Bryan has at first = 13 u
(b)
Number of stickers that Bryan has in the end = 40 u
Change in the number of stickers that Bryan has
= 40 u - 13 u
= 27 u
(c)
Number of stickers that Adam has at first = 52 u
(d)
Number of stickers that Adam has in the end = 25 u
Answer(s): (a) 13; (b) 27; (c) 52; (d) 25