Adam has stickers in 4 colours.
49 of the stickers are red.
The rest of the stickers are green, blue and yellow in the ratio of 4 : 5 : 9.
If there are 60 more blue stickers than green stickers,
how many red stickers are there?
Red |
Green |
Blue |
Yellow |
4 x 18 |
5 x 18 |
|
4 x 5 |
5 x 5 |
9 x 5 |
72 u |
20 u |
25 u |
45 u |
The number of red, green and blue stickers is the combined repeated identity.
Make the number of red, green and blue stickers the same using the LCM of 5 and 18.
LCM of 5 and 18 = 90
Number of more blue stickers than green stickers
= 25 u - 20 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Number of red stickers
= 72 u
= 72 x 12
= 864
Answer(s): 864