Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 10 : 7.
Bryan gives 490 to Adam.
The ratio of Bryan's to Adam's stickers becomes 3 : 7.
- 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 |
10 x 10 = 100 u |
7 x 10 = 70 u |
17 x 10 = 170 u |
Change |
- 490 |
+ 490 |
|
After |
3 x 17 = 51 u |
7 x 17 = 119 u |
10 x 17 = 170 u |
(a)
Change ratio into units.
There is an internal transfer of 490 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 17 and 10 is 170.
Number of stickers that Bryan gives to Adam
= 100 u - 51 u
= 49 u
Number of stickers that Adam has at first = 70 u
(b)
Number of stickers that Adam has in the end = 119 u
Change in the number of stickers that Adam has
= 119 u - 70 u
= 49 u
(c)
Number of stickers that Bryan has at first = 100 u
(d)
Number of stickers that Bryan has in the end = 51 u
Answer(s): (a) 70; (b) 49; (c) 100; (d) 51