Fill in the blanks.
2 boys, Bryan and Adam, have some stickers.
The ratio of Bryan's to Adam's stickers is 4 : 3.
Bryan gives 78 to Adam.
The ratio of Bryan's to Adam's stickers becomes 9 : 10.
- 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 19 = 76 u |
3 x 19 = 57 u |
7 x 19 = 133 u |
Change |
- 78 |
+ 78 |
|
After |
9 x 7 = 63 u |
10 x 7 = 70 u |
19 x 7 = 133 u |
(a)
Change ratio into units.
There is an internal transfer of 78 stickers from Bryan to Adam.
The total remains unchanged.
LCM of 7 and 19 is 133.
Number of stickers that Bryan gives to Adam
= 76 u - 63 u
= 13 u
Number of stickers that Adam has at first = 57 u
(b)
Number of stickers that Adam has in the end = 70 u
Change in the number of stickers that Adam has
= 70 u - 57 u
= 13 u
(c)
Number of stickers that Bryan has at first = 76 u
(d)
Number of stickers that Bryan has in the end = 63 u
Answer(s): (a) 57; (b) 13; (c) 76; (d) 63