Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 5 : 2.
Adam gives 54 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 |
5 x 5 = 25 u |
2 x 5 = 10 u |
7 x 5 = 35 u |
Change |
- 54 |
+ 54 |
|
After |
1 x 7 = 7 u |
4 x 7 = 28 u |
5 x 7 = 35 u |
(a)
Change ratio into units.
There is an internal transfer of 54 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 7 and 5 is 35.
Number of stickers that Adam gives to Bryan
= 25 u - 7 u
= 18 u
Number of stickers that Bryan has at first = 10 u
(b)
Number of stickers that Bryan has in the end = 28 u
Change in the number of stickers that Bryan has
= 28 u - 10 u
= 18 u
(c)
Number of stickers that Adam has at first = 25 u
(d)
Number of stickers that Adam has in the end = 7 u
Answer(s): (a) 10; (b) 18; (c) 25; (d) 7