Adam has some blue stickers and green stickers.
If Adam gives away 19 blue stickers,
the blue stickers will be 25% as many as the green stickers.
If Adam gives away 108 green stickers,
the blue stickers will be 75% as many as the green stickers.
- How many blue stickers are there?
- How many green stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Blue |
Green |
Blue |
Green |
Before |
1 u + 19 |
4 u |
3 p |
4 p + 108 |
Change |
- 19 |
No change |
No change |
- 108 |
After |
1 u |
4 u |
3 p |
4 p |
(a)
25% =
25100 =
14 75% =
75100 =
34 Scenario 1 Number of blue stickers at first = 1 u + 19
Number of green stickers at first = 4 u
Scenario 2 Number of blue stickers at first = 3 p
Number of green stickers at first = 4 p + 108
1 u + 19 = 3 p --- (1)
4 u = 4 p + 108 --- (2)
(1)
x 4 4 u + 76 = 12 p
4 u = 12 p - 76 --- (3)
(3) = (2)
12 p - 76 = 4 p + 108
12 p - 4 p = 76 + 108
8 p = 184
1 p = 184 ÷ 8 = 23
Number of blue stickers
= 3 p
= 3 x 23
= 69
(b)
Number of green stickers at first
= 4 p + 108
= 4 x 23 + 108
= 92 + 108
= 200
Answer(s): (a) 69; (b) 200