The ratio of the number of blue stickers to green stickers is 3 : 1.
After Adam buys another 36 green stickers and gives away 32 blue stickers,
the ratio becomes of the number of blue stickers to green stickers is 5 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Blue |
(2) Green |
Make p the same (2) x 5 = (4) |
Before |
12 u |
3 u |
1 u |
5 u |
Change |
- 128 |
- 32 |
+ 36 |
+ 180 |
After |
20 p |
5 p |
4 p |
20 p |
3 u + 36 = 5 p --- (1)
1 u - 32 = 4 p --- (2)
Make p the same.
(1)
x 412 u - 128 = 20 p --- (3)
(2)
x 55 u + 180 = 20 p --- (4)
(3) = (4)
12 u - 128 = 5 u + 180
12 u - 5 u = 128 + 180
7 u = 308
1 u = 308 ÷ 7 = 44
Number of stickers that Adam have now
= 3 u + 36 + 1 u - 32
= 3 u + 1 u + 36 - 32
= 4 u + 4
= 4 x 44 + 4
= 176 + 4
= 180
Answer(s): 180