Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 5 : 4.
Bryan gives 160 to Adam.
The ratio of Bryan's to Adam's stickers becomes 5 : 8.
- Number of stickers that Adam has at first = _____ u
- Change in the number of stickers that Adam has = _____ u
- Number of stickers that Bryan has at first = _____ u
- Number of stickers that Bryan has in the end = _____ u
|
Bryan |
Adam |
Total |
Before |
5 x 13 = 65 u |
4 x 13 = 52 u |
9 x 13 = 117 u |
Change |
- 160 |
+ 160 |
|
After |
5 x 9 = 45 u |
8 x 9 = 72 u |
13 x 9 = 117 u |
(a)
Change ratio into units.
There is an internal transfer of 160 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 9 and 13 is 117.
Number of stickers that Bryan gives to Adam
= 65 u - 45 u
= 20 u
Number of stickers that Adam has at first = 52 u
(b)
Number of stickers that Adam has in the end = 72 u
Change in the number of stickers that Adam has
= 72 u - 52 u
= 20 u
(c)
Number of stickers that Bryan has at first = 65 u
(d)
Number of stickers that Bryan has in the end = 45 u
Answer(s): (a) 52; (b) 20; (c) 65; (d) 45