George put all his stamps into 18 large albums and 12 small albums. Each large album can hold 11 more stamps than each small album.
14 of his stamps were put into all the small albums and the rest were put into the large albums. How many stamps can be put into one large album?
| |
Large albums
(1) |
Small albums
(2) |
| Number |
18 |
12 |
| Value |
1 u + 11 |
1 u |
| Total value |
18 u + 198 |
12 u |
Comparing total stickers in
large albums and
small albums |
3 p |
1 p |
Total number of stamps in large albums
= 18 x (1 u + 11)
= 18 u + 198
18 u + 198 =
3 p --- (1)
12 u = 1 p --- (2)
(2)
x3
36 u =
3 p --- (3)
(3) = (1)
36 u = 18 u + 198
36 u - 18 u = 198
18 u = 198
1 u = 198 ÷ 18 = 11
Number of stamps in one large album
= 1 u + 11
= 11 + 11
= 22
Answer(s): 22
