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 413 to Bryan.
The ratio of Adam's to Bryan's stickers becomes 1 : 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 |
6 x 11 = 66 u |
1 x 11 = 11 u |
7 x 11 = 77 u |
Change |
- 413 |
+ 413 |
|
After |
1 x 7 = 7 u |
10 x 7 = 70 u |
11 x 7 = 77 u |
(a)
Change ratio into units.
There is an internal transfer of 413 stickers from Adam to Bryan.
The total remains unchanged.
LCM of 7 and 11 is 77.
Number of stickers that Adam gives to Bryan
= 66 u - 7 u
= 59 u
Number of stickers that Bryan has at first = 11 u
(b)
Number of stickers that Bryan has in the end = 70 u
Change in the number of stickers that Bryan has
= 70 u - 11 u
= 59 u
(c)
Number of stickers that Adam has at first = 66 u
(d)
Number of stickers that Adam has in the end = 7 u
Answer(s): (a) 11; (b) 59; (c) 66; (d) 7