Adam has some green stickers and blue stickers.
If Adam gives away 29 green stickers,
the green stickers will be 10% as many as the blue stickers.
If Adam gives away 375 blue stickers,
the green stickers will be 80% as many as the blue stickers.
- How many green stickers are there?
- How many blue stickers are there?
|
Scenario 1 |
Scenario 2 |
|
Green |
Blue |
Green |
Blue |
Before |
1 u + 29 |
10 u |
4 p |
5 p + 375 |
Change |
- 29 |
No change |
No change |
- 375 |
After |
1 u |
10 u |
4 p |
5 p |
(a)
10% =
10100 =
110 80% =
80100 =
45 Scenario 1 Number of green stickers at first = 1 u + 29
Number of blue stickers at first = 10 u
Scenario 2 Number of green stickers at first = 4 p
Number of blue stickers at first = 5 p + 375
1 u + 29 = 4 p --- (1)
10 u = 5 p + 375 --- (2)
(1)
x 10 10 u + 290 = 40 p
10 u = 40 p - 290 --- (3)
(3) = (2)
40 p - 290 = 5 p + 375
40 p - 5 p = 290 + 375
35 p = 665
1 p = 665 ÷ 35 = 19
Number of green stickers
= 4 p
= 4 x 19
= 76
(b)
Number of blue stickers at first
= 5 p + 375
= 5 x 19 + 375
= 95 + 375
= 470
Answer(s): (a) 76; (b) 470