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 145 to Adam.
The ratio of Bryan's to Adam's stickers becomes 8 : 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 |
5 x 17 = 85 u |
2 x 17 = 34 u |
7 x 17 = 119 u |
Change |
- 145 |
+ 145 |
|
After |
8 x 7 = 56 u |
9 x 7 = 63 u |
17 x 7 = 119 u |
(a)
Change ratio into units.
There is an internal transfer of 145 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 17 is 119.
Number of stickers that Bryan gives to Adam
= 85 u - 56 u
= 29 u
Number of stickers that Adam has at first = 34 u
(b)
Number of stickers that Adam has in the end = 63 u
Change in the number of stickers that Adam has
= 63 u - 34 u
= 29 u
(c)
Number of stickers that Bryan has at first = 85 u
(d)
Number of stickers that Bryan has in the end = 56 u
Answer(s): (a) 34; (b) 29; (c) 85; (d) 56