Elijah put all his stickers into 18 large albums and 10 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 |
18 |
10 |
| Value |
1 u + 11 |
1 u |
| Total value |
18 u + 198 |
10 u |
Comparing total stickers in
large albums and
small albums |
2 p |
1 p |
Total number of stickers in large albums
= 18 x (1 u + 11)
= 18 u + 198
18 u + 198 =
2 p --- (1)
10 u = 1 p --- (2)
(2)
x2
20 u =
2 p --- (3)
(3) = (1)
20 u = 18 u + 198
20 u - 18 u = 198
2 u = 198
1 u = 198 ÷ 2 = 99
Number of stickers in one small album
= 1 u
= 99
Answer(s): 99
