Adam has stickers in 4 colours.
45 of the stickers are blue.
The rest of the stickers are yellow, red and green in the ratio of 1 : 3 : 9.
If there are 60 more red stickers than yellow stickers,
how many blue stickers are there?
Blue |
Yellow |
Red |
Green |
4 x 13 |
1 x 13 |
|
1 x 1 |
3 x 1 |
9 x 1 |
52 u |
1 u |
3 u |
9 u |
The number of blue, yellow and red stickers is the combined repeated identity.
Make the number of blue, yellow and red stickers the same using the LCM of 1 and 13.
LCM of 1 and 13 = 13
Number of more red stickers than yellow stickers
= 3 u - 1 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Number of blue stickers
= 52 u
= 52 x 30
= 1560
Answer(s): 1560