Ian put all his stamps into 15 large albums and 10 small albums. Each large album can hold 13 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 |
15 |
10 |
| Value |
1 u + 13 |
1 u |
| Total value |
15 u + 195 |
10 u |
Comparing total stickers in
large albums and
small albums |
2 p |
1 p |
Total number of stamps in large albums
= 15 x (1 u + 13)
= 15 u + 195
15 u + 195 =
2 p --- (1)
10 u = 1 p --- (2)
(2)
x2
20 u =
2 p --- (3)
(3) = (1)
20 u = 15 u + 195
20 u - 15 u = 195
5 u = 195
1 u = 195 ÷ 5 = 39
Number of stamps in one large album
= 1 u + 13
= 39 + 13
= 52
Answer(s): 52
