The ratio of the number of green stickers to red stickers is 7 : 1.
After Adam buys another 48 red stickers and gives away 32 green stickers,
the ratio becomes of the number of green stickers to red stickers is 5 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
21 u |
7 u |
1 u |
5 u |
Change |
- 96 |
- 32 |
+ 48 |
+ 240 |
After |
15 p |
5 p |
3 p |
15 p |
7 u + 48 = 5 p --- (1)
1 u - 32 = 3 p --- (2)
Make p the same.
(1)
x 321 u - 96 = 15 p --- (3)
(2)
x 55 u + 240 = 15 p --- (4)
(3) = (4)
21 u - 96 = 5 u + 240
21 u - 5 u = 96 + 240
16 u = 336
1 u = 336 ÷ 16 = 21
Number of stickers that Adam have now
= 7 u + 48 + 1 u - 32
= 7 u + 1 u + 48 - 32
= 8 u + 16
= 8 x 21 + 16
= 168 + 16
= 184
Answer(s): 184