Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 9 : 2.
Bryan gives 124 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 |
9 x 13 = 117 u |
2 x 13 = 26 u |
11 x 13 = 143 u |
Change |
- 124 |
+ 124 |
|
After |
5 x 11 = 55 u |
8 x 11 = 88 u |
13 x 11 = 143 u |
(a)
Change ratio into units.
There is an internal transfer of 124 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 11 and 13 is 143.
Number of stickers that Bryan gives to Adam
= 117 u - 55 u
= 62 u
Number of stickers that Adam has at first = 26 u
(b)
Number of stickers that Adam has in the end = 88 u
Change in the number of stickers that Adam has
= 88 u - 26 u
= 62 u
(c)
Number of stickers that Bryan has at first = 117 u
(d)
Number of stickers that Bryan has in the end = 55 u
Answer(s): (a) 26; (b) 62; (c) 117; (d) 55