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 232 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 6.
- 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 |
- 232 |
+ 232 |
|
After |
1 x 6 = 6 u |
6 x 6 = 36 u |
7 x 6 = 42 u |
(a)
Change ratio into units.
There is an internal transfer of 232 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 - 6 u
= 29 u
Number of stickers that Bryan has at first = 7 u
(b)
Number of stickers that Bryan has in the end = 36 u
Change in the number of stickers that Bryan has
= 36 u - 7 u
= 29 u
(c)
Number of stickers that Adam has at first = 35 u
(d)
Number of stickers that Adam has in the end = 6 u
Answer(s): (a) 7; (b) 29; (c) 35; (d) 6