Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 6 : 1.
Bryan gives 424 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 |
6 x 17 = 102 u |
1 x 17 = 17 u |
7 x 17 = 119 u |
Change |
- 424 |
+ 424 |
|
After |
7 x 7 = 49 u |
10 x 7 = 70 u |
17 x 7 = 119 u |
(a)
Change ratio into units.
There is an internal transfer of 424 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 17 is 119.
Number of stickers that Bryan gives to Adam
= 102 u - 49 u
= 53 u
Number of stickers that Adam has at first = 17 u
(b)
Number of stickers that Adam has in the end = 70 u
Change in the number of stickers that Adam has
= 70 u - 17 u
= 53 u
(c)
Number of stickers that Bryan has at first = 102 u
(d)
Number of stickers that Bryan has in the end = 49 u
Answer(s): (a) 17; (b) 53; (c) 102; (d) 49