Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 10 : 9.
Adam gives 639 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 8.
- 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 |
10 x 9 = 90 u |
9 x 9 = 81 u |
19 x 9 = 171 u |
Change |
- 639 |
+ 639 |
|
After |
1 x 19 = 19 u |
8 x 19 = 152 u |
9 x 19 = 171 u |
(a)
Change ratio into units.
There is an internal transfer of 639 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 19 and 9 is 171.
Number of stickers that Adam gives to Bryan
= 90 u - 19 u
= 71 u
Number of stickers that Bryan has at first = 81 u
(b)
Number of stickers that Bryan has in the end = 152 u
Change in the number of stickers that Bryan has
= 152 u - 81 u
= 71 u
(c)
Number of stickers that Adam has at first = 90 u
(d)
Number of stickers that Adam has in the end = 19 u
Answer(s): (a) 81; (b) 71; (c) 90; (d) 19