Adam has 164 stickers.
After
35 of the blue stickers is given away and
another 18 green stickers are bought,
there is an equal number of blue and green stickers.
- How many blue stickers are there in the end?
- How many less green stickers than blue stickers are there at first?
- How many blue stickers are given away?
|
Blue |
Green |
Before |
5 u |
2 u - 18 |
Change |
- 3 u |
+ 18 |
After |
2 u |
2 u |
(a)
Fraction of the blue stickers left
= 1 -
35 =
25 The number of blue stickers and green stickers in the end is the same.
Total number of stickers at first
= 5 u + 2 u - 18
= 7 u - 18
7 u - 18 = 164
7 u = 164 + 18
7 u = 182
1 u = 182 ÷ 7 = 26
Number of blue stickers in the end
= 2 u
= 2 x 26
= 52
(b)
Number of less green stickers than blue stickers at first
= 5 u - (2 u - 18)
= 5 u - 2 u + 18
= 3 u + 18
= 3 x 26 + 18
= 78 + 18
= 96
(c)
Number of blue stickers given away
= 3 u
= 3 x 26
= 78
Answer(s): (a) 52; (b) 96; (c) 78