Cindy had 350 stickers.
37 were green and the rest were pink and brown. The ratio of the number of pink stickers to the number of brown stickers was 1 : 4. Cindy decided to buy some more green stickers to increase the number of green stickers to half of the total number of stickers.
- How many less pink stickers than green stickers did he have at first?
- How many more green stickers did he have to buy?
Green stickers |
Pink stickers |
Brown stickers |
Total |
3x5 |
4x5 |
|
|
1x4 |
4x4 |
|
15 u |
4 u |
16 u |
350 |
|
Green stickers |
Pink stickers |
Brown stickers |
Before |
15 u |
4 u |
16 u |
Change |
+ ? |
|
|
After |
20 u |
20 u |
Comparing green, pink and brown stickers in the end |
1 |
1 |
(a)
The total number of pink stickers and brown stickers is repeated. Make the total number of pink stickers and brown stickers the same. LCM of 4 and 5 is 20.
Total number of stickers at first
= 15 u + 4 u + 16 u
= 35 u
35 u = 350
1 u = 350 ÷ 35 = 10
Number of less pink stickers than green stickers at first
= 15 u - 4 u
= 11 u
= 11 x 10
= 110
(b)
Number of more green stickers that Cindy had to buy
= 20 u - 15 u
= 5 u
= 5 x 10
= 50
Answer(s): (a) 110; (b) 50