Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 1.
Adam gives 51 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 3 : 4.
- Number of stickers that Bryan has at first = _____ u
- Change in the number of stickers that Bryan has = _____ u
- Number of stickers that Adam has at first = _____ u
- Number of stickers that Adam has in the end = _____ u
|
Adam |
Bryan |
Total |
Before |
5 x 7 = 35 u |
1 x 7 = 7 u |
6 x 7 = 42 u |
Change |
- 51 |
+ 51 |
|
After |
3 x 6 = 18 u |
4 x 6 = 24 u |
7 x 6 = 42 u |
(a)
Change ratio into units.
There is an internal transfer of 51 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 6 and 7 is 42.
Number of stickers that Adam gives to Bryan
= 35 u - 18 u
= 17 u
Number of stickers that Bryan has at first = 7 u
(b)
Number of stickers that Bryan has in the end = 24 u
Change in the number of stickers that Bryan has
= 24 u - 7 u
= 17 u
(c)
Number of stickers that Adam has at first = 35 u
(d)
Number of stickers that Adam has in the end = 18 u
Answer(s): (a) 7; (b) 17; (c) 35; (d) 18