Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 7 : 6.
Adam gives 110 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 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 |
7 x 5 = 35 u |
6 x 5 = 30 u |
13 x 5 = 65 u |
Change |
- 110 |
+ 110 |
|
After |
1 x 13 = 13 u |
4 x 13 = 52 u |
5 x 13 = 65 u |
(a)
Change ratio into units.
There is an internal transfer of 110 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 13 and 5 is 65.
Number of stickers that Adam gives to Bryan
= 35 u - 13 u
= 22 u
Number of stickers that Bryan has at first = 30 u
(b)
Number of stickers that Bryan has in the end = 52 u
Change in the number of stickers that Bryan has
= 52 u - 30 u
= 22 u
(c)
Number of stickers that Adam has at first = 35 u
(d)
Number of stickers that Adam has in the end = 13 u
Answer(s): (a) 30; (b) 22; (c) 35; (d) 13