Adam has stickers in 4 colours.
34 of the stickers are red.
The rest of the stickers are yellow, blue and green in the ratio of 1 : 5 : 5.
If there are 120 more blue stickers than yellow stickers,
how many red stickers are there?
Red |
Yellow |
Blue |
Green |
3 x 11 |
1 x 11 |
|
1 x 1 |
5 x 1 |
5 x 1 |
33 u |
1 u |
5 u |
5 u |
The number of red, yellow and blue stickers is the combined repeated identity.
Make the number of red, yellow and blue stickers the same using the LCM of 1 and 11.
LCM of 1 and 11 = 11
Number of more blue stickers than yellow stickers
= 5 u - 1 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Number of red stickers
= 33 u
= 33 x 30
= 990
Answer(s): 990