Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 4 : 1.
Adam gives 248 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 9 : 10.
- 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 |
4 x 19 = 76 u |
1 x 19 = 19 u |
5 x 19 = 95 u |
Change |
- 248 |
+ 248 |
|
After |
9 x 5 = 45 u |
10 x 5 = 50 u |
19 x 5 = 95 u |
(a)
Change ratio into units.
There is an internal transfer of 248 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 5 and 19 is 95.
Number of stickers that Adam gives to Bryan
= 76 u - 45 u
= 31 u
Number of stickers that Bryan has at first = 19 u
(b)
Number of stickers that Bryan has in the end = 50 u
Change in the number of stickers that Bryan has
= 50 u - 19 u
= 31 u
(c)
Number of stickers that Adam has at first = 76 u
(d)
Number of stickers that Adam has in the end = 45 u
Answer(s): (a) 19; (b) 31; (c) 76; (d) 45