Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 5 : 2.
Bryan gives 85 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 |
5 x 9 = 45 u |
2 x 9 = 18 u |
7 x 9 = 63 u |
Change |
- 85 |
+ 85 |
|
After |
4 x 7 = 28 u |
5 x 7 = 35 u |
9 x 7 = 63 u |
(a)
Change ratio into units.
There is an internal transfer of 85 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 9 is 63.
Number of stickers that Bryan gives to Adam
= 45 u - 28 u
= 17 u
Number of stickers that Adam has at first = 18 u
(b)
Number of stickers that Adam has in the end = 35 u
Change in the number of stickers that Adam has
= 35 u - 18 u
= 17 u
(c)
Number of stickers that Bryan has at first = 45 u
(d)
Number of stickers that Bryan has in the end = 28 u
Answer(s): (a) 18; (b) 17; (c) 45; (d) 28