Adam has stickers in 4 colours.
37 of the stickers are red.
The rest of the stickers are green, blue and yellow in the ratio of 4 : 5 : 6.
If there are 120 more blue stickers than green stickers,
how many red stickers are there?
Red |
Green |
Blue |
Yellow |
3 x 15 |
4 x 15 |
|
4 x 4 |
5 x 4 |
6 x 4 |
45 u |
16 u |
20 u |
24 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 4 and 15.
LCM of 4 and 15 = 60
Number of more blue stickers than green stickers
= 20 u - 16 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Number of red stickers
= 45 u
= 45 x 30
= 1350
Answer(s): 1350