The ratio of the number of green stickers to red stickers is 4 : 1.
After Adam buys another 47 red stickers and gives away 10 green stickers,
the ratio becomes of the number of green stickers to red stickers is 5 : 4.
How many stickers does Adam have now?
|
Make p the same (1) x 4 = (3) |
(1) Green |
(2) Red |
Make p the same (2) x 5 = (4) |
Before |
16 u |
4 u |
1 u |
5 u |
Change |
- 40 |
- 10 |
+ 47 |
+ 235 |
After |
20 p |
5 p |
4 p |
20 p |
4 u + 47 = 5 p --- (1)
1 u - 10 = 4 p --- (2)
Make p the same.
(1)
x 416 u - 40 = 20 p --- (3)
(2)
x 55 u + 235 = 20 p --- (4)
(3) = (4)
16 u - 40 = 5 u + 235
16 u - 5 u = 40 + 235
11 u = 275
1 u = 275 ÷ 11 = 25
Number of stickers that Adam have now
= 4 u + 47 + 1 u - 10
= 4 u + 1 u + 47 - 10
= 5 u + 37
= 5 x 25 + 37
= 125 + 37
= 162
Answer(s): 162