Adam has stickers in 4 colours.
37 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 3 : 4.
If there are 30 more yellow stickers than red stickers,
how many blue stickers are there?
Blue |
Red |
Yellow |
Green |
3 x 2 |
4 x 2 |
|
1 x 1 |
3 x 1 |
4 x 1 |
6 u |
1 u |
3 u |
4 u |
The number of blue, red and yellow stickers is the combined repeated identity.
Make the number of blue, red and yellow stickers the same using the LCM of 4 and 8.
LCM of 4 and 8 = 8
Number of more yellow stickers than red stickers
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of blue stickers
= 6 u
= 6 x 15
= 90
Answer(s): 90