Fred put all his stickers into 22 large albums and 12 small albums. Each large album can hold 11 more stickers than each small album.
13 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 |
22 |
12 |
| Value |
1 u + 11 |
1 u |
| Total value |
22 u + 242 |
12 u |
Comparing total stickers in
large albums and
small albums |
2 p |
1 p |
Total number of stickers in large albums
= 22 x (1 u + 11)
= 22 u + 242
22 u + 242 =
2 p --- (1)
12 u = 1 p --- (2)
(2)
x2
24 u =
2 p --- (3)
(3) = (1)
24 u = 22 u + 242
24 u - 22 u = 242
2 u = 242
1 u = 242 ÷ 2 = 121
Number of stickers in one small album
= 1 u
= 121
Answer(s): 121
