Adam has 66 stickers.
After
23 of the blue stickers and
35 of the red stickers are given away,
there is an equal number of blue and red stickers left.
- How many blue stickers are there in the end?
- How many more blue stickers are there than red stickers at first?
- How many red stickers are given away?
|
Blue |
Red |
Total |
Before |
3 x 2 = 6 u |
5 x 1 = 5 u |
66 |
Change |
- 2 x 2 = - 4 u |
- 3 x 1 = - 3 u |
|
After |
1 x 2 = 2 u |
2 x 1 = 2 u |
|
(a)
Fraction of the blue stickers left
= 1 -
23 =
13 Fraction of the red stickers left
= 1 -
35 =
25 Number of blue stickers and red stickers left is the same.
Make the number of blue stickers and red stickers left the same using the LCM of 1 and 2.
LCM of 1 and 2 = 2
Total number of stickers
= 6 u + 5 u
= 11 u
11 u = 66
1 u = 66 ÷ 11 = 6
Number of blue stickers in the end
= 2 u
= 2 x 6
= 12
(b)
Number of more blue stickers than red stickers at first
= 6 u - 5 u
= 1 u
= 1 x 6
= 6
(c)
Number of red stickers given away
= 5 u - 2 u
= 3 u
= 3 x 6
= 18
Answer(s): (a) 12; (b) 6; (c) 18