Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 7 : 1.
Bryan gives 87 to Adam.
The ratio of Bryan's to Adam's stickers becomes 5 : 9.
- 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 |
7 x 7 = 49 u |
1 x 7 = 7 u |
8 x 7 = 56 u |
Change |
- 87 |
+ 87 |
|
After |
5 x 4 = 20 u |
9 x 4 = 36 u |
14 x 4 = 56 u |
(a)
Change ratio into units.
There is an internal transfer of 87 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 8 and 14 is 56.
Number of stickers that Bryan gives to Adam
= 49 u - 20 u
= 29 u
Number of stickers that Adam has at first = 7 u
(b)
Number of stickers that Adam has in the end = 36 u
Change in the number of stickers that Adam has
= 36 u - 7 u
= 29 u
(c)
Number of stickers that Bryan has at first = 49 u
(d)
Number of stickers that Bryan has in the end = 20 u
Answer(s): (a) 7; (b) 29; (c) 49; (d) 20