Fill in the blanks.
2 boys, Adam and Bryan, have some stickers.
The ratio of Adam's to Bryan's stickers is 6 : 1.
Adam gives 450 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 4 : 9.
- 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 |
6 x 13 = 78 u |
1 x 13 = 13 u |
7 x 13 = 91 u |
Change |
- 450 |
+ 450 |
|
After |
4 x 7 = 28 u |
9 x 7 = 63 u |
13 x 7 = 91 u |
(a)
Change ratio into units.
There is an internal transfer of 450 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 7 and 13 is 91.
Number of stickers that Adam gives to Bryan
= 78 u - 28 u
= 50 u
Number of stickers that Bryan has at first = 13 u
(b)
Number of stickers that Bryan has in the end = 63 u
Change in the number of stickers that Bryan has
= 63 u - 13 u
= 50 u
(c)
Number of stickers that Adam has at first = 78 u
(d)
Number of stickers that Adam has in the end = 28 u
Answer(s): (a) 13; (b) 50; (c) 78; (d) 28