Adam has 171 stickers.
After
13 of the blue stickers and
25 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 red stickers are there than blue stickers at first?
- How many red stickers are given away?
|
Blue |
Red |
Total |
Before |
3 x 3 = 9 u |
5 x 2 = 10 u |
171 |
Change |
- 1 x 3 = - 3 u |
- 2 x 2 = - 4 u |
|
After |
2 x 3 = 6 u |
3 x 2 = 6 u |
|
(a)
Fraction of the blue stickers left
= 1 -
13 =
23 Fraction of the red stickers left
= 1 -
25 =
35 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 2 and 3.
LCM of 2 and 3 = 6
Total number of stickers
= 9 u + 10 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Number of blue stickers in the end
= 6 u
= 6 x 9
= 54
(b)
Number of more red stickers than blue stickers at first
= 10 u - 9 u
= 1 u
= 1 x 9
= 9
(c)
Number of red stickers given away
= 10 u - 6 u
= 4 u
= 4 x 9
= 36
Answer(s): (a) 54; (b) 9; (c) 36