Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 4 : 1.
Bryan gives 220 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 |
4 x 13 = 52 u |
1 x 13 = 13 u |
5 x 13 = 65 u |
Change |
- 220 |
+ 220 |
|
After |
6 x 5 = 30 u |
7 x 5 = 35 u |
13 x 5 = 65 u |
(a)
Change ratio into units.
There is an internal transfer of 220 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 5 and 13 is 65.
Number of stickers that Bryan gives to Adam
= 52 u - 30 u
= 22 u
Number of stickers that Adam has at first = 13 u
(b)
Number of stickers that Adam has in the end = 35 u
Change in the number of stickers that Adam has
= 35 u - 13 u
= 22 u
(c)
Number of stickers that Bryan has at first = 52 u
(d)
Number of stickers that Bryan has in the end = 30 u
Answer(s): (a) 13; (b) 22; (c) 52; (d) 30