Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 10 : 3.
Bryan gives 228 to Adam.
The ratio of Bryan's to Adam's stickers becomes 4 : 5.
- 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 |
10 x 9 = 90 u |
3 x 9 = 27 u |
13 x 9 = 117 u |
Change |
- 228 |
+ 228 |
|
After |
4 x 13 = 52 u |
5 x 13 = 65 u |
9 x 13 = 117 u |
(a)
Change ratio into units.
There is an internal transfer of 228 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 13 and 9 is 117.
Number of stickers that Bryan gives to Adam
= 90 u - 52 u
= 38 u
Number of stickers that Adam has at first = 27 u
(b)
Number of stickers that Adam has in the end = 65 u
Change in the number of stickers that Adam has
= 65 u - 27 u
= 38 u
(c)
Number of stickers that Bryan has at first = 90 u
(d)
Number of stickers that Bryan has in the end = 52 u
Answer(s): (a) 27; (b) 38; (c) 90; (d) 52