Harry put all his stamps into 14 large albums and 11 small albums. Each large album can hold 16 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 large album?
|
Large albums (1) |
Small albums (2) |
Number |
14 |
11 |
Value |
1 u + 16 |
1 u |
Total value |
14 u + 224 |
11 u |
Comparing total stickers in large albums and small albums |
2 p |
1 p |
Total number of stamps in large albums
= 14 x (1 u + 16)
= 14 u + 224
14 u + 224 =
2 p --- (1)
11 u = 1 p --- (2)
(2)
x2
22 u =
2 p --- (3)
(3) = (1)
22 u = 14 u + 224
22 u - 14 u = 224
8 u = 224
1 u = 224 ÷ 8 = 28
Number of stamps in one large album
= 1 u + 16
= 28 + 16
= 44
Answer(s): 44