Adam has stickers in 4 colours.
38 of the stickers are red.
The rest of the stickers are blue, green and yellow in the ratio of 3 : 4 : 9.
If there are 30 more green stickers than blue stickers,
how many red stickers are there?
Red |
Blue |
Green |
Yellow |
3 x 16 |
5 x 16 |
|
3 x 5 |
4 x 5 |
9 x 5 |
48 u |
15 u |
20 u |
45 u |
The number of red, blue and green stickers is the combined repeated identity.
Make the number of red, blue and green stickers the same using the LCM of 5 and 16.
LCM of 5 and 16 = 80
Number of more green stickers than blue stickers
= 20 u - 15 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of red stickers
= 48 u
= 48 x 6
= 288
Answer(s): 288