Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 2 : 1.
Bryan gives 65 to Adam.
The ratio of Bryan's to Adam's stickers becomes 7 : 10.
- 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 |
2 x 17 = 34 u |
1 x 17 = 17 u |
3 x 17 = 51 u |
Change |
- 65 |
+ 65 |
|
After |
7 x 3 = 21 u |
10 x 3 = 30 u |
17 x 3 = 51 u |
(a)
Change ratio into units.
There is an internal transfer of 65 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 3 and 17 is 51.
Number of stickers that Bryan gives to Adam
= 34 u - 21 u
= 13 u
Number of stickers that Adam has at first = 17 u
(b)
Number of stickers that Adam has in the end = 30 u
Change in the number of stickers that Adam has
= 30 u - 17 u
= 13 u
(c)
Number of stickers that Bryan has at first = 34 u
(d)
Number of stickers that Bryan has in the end = 21 u
Answer(s): (a) 17; (b) 13; (c) 34; (d) 21