Tom put all his stamps into 25 large albums and 15 small albums. Each large album can hold 18 more stamps than each small album.
16 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 |
25 |
15 |
| Value |
1 u + 18 |
1 u |
| Total value |
25 u + 450 |
15 u |
Comparing total stickers in
large albums and
small albums |
5 p |
1 p |
Total number of stamps in large albums
= 25 x (1 u + 18)
= 25 u + 450
25 u + 450 =
5 p --- (1)
15 u = 1 p --- (2)
(2)
x5
75 u =
5 p --- (3)
(3) = (1)
75 u = 25 u + 450
75 u - 25 u = 450
50 u = 450
1 u = 450 ÷ 50 = 9
Number of stamps in one large album
= 1 u + 18
= 9 + 18
= 27
Answer(s): 27
