The ratio of the number of green stickers to blue stickers is 5 : 2.
After Adam buys another 33 blue stickers and gives away 26 green stickers,
the ratio becomes of the number of green stickers to blue stickers is 4 : 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 4 = (4) |
Before |
15 u |
5 u |
2 u |
8 u |
Change |
- 78 |
- 26 |
+ 33 |
+ 132 |
After |
12 p |
4 p |
3 p |
12 p |
5 u + 33 = 4 p --- (1)
2 u - 26 = 3 p --- (2)
Make p the same.
(1)
x 315 u - 78 = 12 p --- (3)
(2)
x 48 u + 132 = 12 p --- (4)
(3) = (4)
15 u - 78 = 8 u + 132
15 u - 8 u = 78 + 132
7 u = 210
1 u = 210 ÷ 7 = 30
Number of stickers that Adam have now
= 5 u + 33 + 2 u - 26
= 5 u + 2 u + 33 - 26
= 7 u + 7
= 7 x 30 + 7
= 210 + 7
= 217
Answer(s): 217