Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 6 : 1.
Bryan gives 324 to Adam.
The ratio of Bryan's to Adam's stickers becomes 6 : 7.
- Number of stickers that Adam has at first = _____ u
- Change in the number of stickers that Adam has = _____ u
- Number of stickers that Bryan has at first = _____ u
- Number of stickers that Bryan has in the end = _____ u
|
Bryan |
Adam |
Total |
Before |
6 x 13 = 78 u |
1 x 13 = 13 u |
7 x 13 = 91 u |
Change |
- 324 |
+ 324 |
|
After |
6 x 7 = 42 u |
7 x 7 = 49 u |
13 x 7 = 91 u |
(a)
Change ratio into units.
There is an internal transfer of 324 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 13 is 91.
Number of stickers that Bryan gives to Adam
= 78 u - 42 u
= 36 u
Number of stickers that Adam has at first = 13 u
(b)
Number of stickers that Adam has in the end = 49 u
Change in the number of stickers that Adam has
= 49 u - 13 u
= 36 u
(c)
Number of stickers that Bryan has at first = 78 u
(d)
Number of stickers that Bryan has in the end = 42 u
Answer(s): (a) 13; (b) 36; (c) 78; (d) 42