The ratio of the number of blue stickers to red stickers is 5 : 3.
After Adam gives away 28 blue stickers and gives away 51 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 8 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Blue |
(2) Red |
Make p the same (2) x 8 = (4) |
Before |
15 u |
5 u |
3 u |
24 u |
Change |
- 84 |
- 28 |
- 51 |
- 408 |
After |
24 p |
8 p |
3 p |
24 p |
5 u - 28 = 8 p --- (1)
3 u - 51 = 3 p --- (2)
Make p the same.
(1) x 3
15 u - 84 = 24 p --- (3)
(2) x 8
24 u - 408 = 24 p --- (4)
(4) = (3)
24 u - 408 = 15 u - 84
24 u - 15 u = 408 - 84
9 u = 324
1 u = 324 ÷ 9 = 36
Number of stickers that Adam has now
= 5 u - 28 + 3 u - 51
= 8 u - 79
= 8 x 36 - 79
= 288 - 79
= 209
Answer(s): 209