The ratio of the number of red stickers to blue stickers is 5 : 3.
After Adam gives away 16 red stickers and gives away 42 blue stickers,
the ratio becomes of the number of red stickers to blue stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Red |
(2) Blue |
Make p the same (2) x 8 = (4) |
Before |
15 u |
5 u |
3 u |
24 u |
Change |
- 48 |
- 16 |
- 42 |
- 336 |
After |
24 p |
8 p |
3 p |
24 p |
5 u - 16 = 8 p --- (1)
3 u - 42 = 3 p --- (2)
Make p the same.
(1) x 3
15 u - 48 = 24 p --- (3)
(2) x 8
24 u - 336 = 24 p --- (4)
(4) = (3)
24 u - 336 = 15 u - 48
24 u - 15 u = 336 - 48
9 u = 288
1 u = 288 ÷ 9 = 32
Number of stickers that Adam has now
= 5 u - 16 + 3 u - 42
= 8 u - 58
= 8 x 32 - 58
= 256 - 58
= 198
Answer(s): 198