The ratio of the number of green stickers to blue stickers is 5 : 3.
After Adam gives away 29 green stickers and gives away 57 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 7 : 2.
How many stickers does Adam have now?
|
Make p the same (1) x 2 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 7 = (4) |
Before |
10 u |
5 u |
3 u |
21 u |
Change |
- 58 |
- 29 |
- 57 |
- 399 |
After |
14 p |
7 p |
2 p |
14 p |
5 u - 29 = 7 p --- (1)
3 u - 57 = 2 p --- (2)
Make p the same.
(1) x 2
10 u - 58 = 14 p --- (3)
(2) x 7
21 u - 399 = 14 p --- (4)
(4) = (3)
21 u - 399 = 10 u - 58
21 u - 10 u = 399 - 58
11 u = 341
1 u = 341 ÷ 11 = 31
Number of stickers that Adam has now
= 5 u - 29 + 3 u - 57
= 8 u - 86
= 8 x 31 - 86
= 248 - 86
= 162
Answer(s): 162