Adam has 170 stickers.
After
310 of the red stickers is given away and
another 34 green stickers are bought,
there is an equal number of red and green stickers.
- How many red stickers are there in the end?
- How many less green stickers than red stickers are there at first?
- How many red stickers are given away?
|
Red |
Green |
Before |
10 u |
7 u - 34 |
Change |
- 3 u |
+ 34 |
After |
7 u |
7 u |
(a)
Fraction of the red stickers left
= 1 -
310 =
710 The number of red stickers and green stickers in the end is the same.
Total number of stickers at first
= 10 u + 7 u - 34
= 17 u - 34
17 u - 34 = 170
17 u = 170 + 34
17 u = 204
1 u = 204 ÷ 17 = 12
Number of red stickers in the end
= 7 u
= 7 x 12
= 84
(b)
Number of less green stickers than red stickers at first
= 10 u - (7 u - 34)
= 10 u - 7 u + 34
= 3 u + 34
= 3 x 12 + 34
= 36 + 34
= 70
(c)
Number of red stickers given away
= 3 u
= 3 x 12
= 36
Answer(s): (a) 84; (b) 70; (c) 36