The ratio of the number of blue stickers to green stickers is 5 : 3.
After Adam gives away 47 blue stickers and gives away 66 green stickers,
the ratio becomes of the number of blue stickers to green stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 8 = (4) |
Before |
15 u |
5 u |
3 u |
24 u |
Change |
- 141 |
- 47 |
- 66 |
- 528 |
After |
24 p |
8 p |
3 p |
24 p |
5 u - 47 = 8 p --- (1)
3 u - 66 = 3 p --- (2)
Make p the same.
(1) x 3
15 u - 141 = 24 p --- (3)
(2) x 8
24 u - 528 = 24 p --- (4)
(4) = (3)
24 u - 528 = 15 u - 141
24 u - 15 u = 528 - 141
9 u = 387
1 u = 387 ÷ 9 = 43
Number of stickers that Adam has now
= 5 u - 47 + 3 u - 66
= 8 u - 113
= 8 x 43 - 113
= 344 - 113
= 231
Answer(s): 231