Adam has stickers in 4 colours.
27 of the stickers are red.
The rest of the stickers are green, blue and yellow in the ratio of 1 : 2 : 9.
If there are 120 more blue stickers than green stickers,
how many red stickers are there?
Red |
Green |
Blue |
Yellow |
2 x 12 |
5 x 12 |
|
1 x 5 |
2 x 5 |
9 x 5 |
24 u |
5 u |
10 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 12.
LCM of 5 and 12 = 60
Number of more blue stickers than green stickers
= 10 u - 5 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
Number of red stickers
= 24 u
= 24 x 24
= 576
Answer(s): 576