Adam has 26 stickers.
After
310 of the red stickers is given away and
another 8 blue stickers are bought,
there is an equal number of red and blue stickers.
- How many red stickers are there in the end?
- How many less blue stickers than red stickers are there at first?
- How many red stickers are given away?
|
Red |
Blue |
Before |
10 u |
7 u - 8 |
Change |
- 3 u |
+ 8 |
After |
7 u |
7 u |
(a)
Fraction of the red stickers left
= 1 -
310 =
710 The number of red stickers and blue stickers in the end is the same.
Total number of stickers at first
= 10 u + 7 u - 8
= 17 u - 8
17 u - 8 = 26
17 u = 26 + 8
17 u = 34
1 u = 34 ÷ 17 = 2
Number of red stickers in the end
= 7 u
= 7 x 2
= 14
(b)
Number of less blue stickers than red stickers at first
= 10 u - (7 u - 8)
= 10 u - 7 u + 8
= 3 u + 8
= 3 x 2 + 8
= 6 + 8
= 14
(c)
Number of red stickers given away
= 3 u
= 3 x 2
= 6
Answer(s): (a) 14; (b) 14; (c) 6