Tim put all his stamps into 27 large albums and 18 small albums. Each large album can hold 15 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 small album?
|
Large albums (1) |
Small albums (2) |
Number |
27 |
18 |
Value |
1 u + 15 |
1 u |
Total value |
27 u + 405 |
18 u |
Comparing total stickers in large albums and small albums |
3 p |
1 p |
Total number of stamps in large albums
= 27 x (1 u + 15)
= 27 u + 405
27 u + 405 =
3 p --- (1)
18 u = 1 p --- (2)
(2)
x3
54 u =
3 p --- (3)
(3) = (1)
54 u = 27 u + 405
54 u - 27 u = 405
27 u = 405
1 u = 405 ÷ 27 = 15
Number of stamps in one small album
= 1 u
= 15
Answer(s): 15