The ratio of the number of green stickers to blue stickers is 4 : 3.
After Adam gives away 16 green stickers and gives away 51 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 5 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 5 = (4) |
Before |
12 u |
4 u |
3 u |
15 u |
Change |
- 48 |
- 16 |
- 51 |
- 255 |
After |
15 p |
5 p |
3 p |
15 p |
4 u - 16 = 5 p --- (1)
3 u - 51 = 3 p --- (2)
Make p the same.
(1) x 3
12 u - 48 = 15 p --- (3)
(2) x 5
15 u - 255 = 15 p --- (4)
(4) = (3)
15 u - 255 = 12 u - 48
15 u - 12 u = 255 - 48
3 u = 207
1 u = 207 ÷ 3 = 69
Number of stickers that Adam has now
= 4 u - 16 + 3 u - 51
= 7 u - 67
= 7 x 69 - 67
= 483 - 67
= 416
Answer(s): 416