Liam put all his stickers into 20 large albums and 15 small albums. Each large album can hold 10 more stickers than each small album.
14 of his stickers were put into all the small albums and the rest were put into the large albums. How many stickers can be put into one small album?
|
Large albums (1) |
Small albums (2) |
Number |
20 |
15 |
Value |
1 u + 10 |
1 u |
Total value |
20 u + 200 |
15 u |
Comparing total stickers in large albums and small albums |
3 p |
1 p |
Total number of stickers in large albums
= 20 x (1 u + 10)
= 20 u + 200
20 u + 200 =
3 p --- (1)
15 u = 1 p --- (2)
(2)
x3
45 u =
3 p --- (3)
(3) = (1)
45 u = 20 u + 200
45 u - 20 u = 200
25 u = 200
1 u = 200 ÷ 25 = 8
Number of stickers in one small album
= 1 u
= 8
Answer(s): 8