Ethan put all his stamps into 26 large albums and 16 small albums. Each large album can hold 12 more stamps than each small album.
13 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 |
26 |
16 |
Value |
1 u + 12 |
1 u |
Total value |
26 u + 312 |
16 u |
Comparing total stickers in large albums and small albums |
2 p |
1 p |
Total number of stamps in large albums
= 26 x (1 u + 12)
= 26 u + 312
26 u + 312 =
2 p --- (1)
16 u = 1 p --- (2)
(2)
x2
32 u =
2 p --- (3)
(3) = (1)
32 u = 26 u + 312
32 u - 26 u = 312
6 u = 312
1 u = 312 ÷ 6 = 52
Number of stamps in one small album
= 1 u
= 52
Answer(s): 52