Ian put all his stickers into 26 large albums and 18 small albums. Each large album can hold 10 more stickers than each small album.
13 of his stickers were put into all the small albums and the rest were put into the large albums. How many stickers can be put into one large album?
| |
Large albums
(1) |
Small albums
(2) |
| Number |
26 |
18 |
| Value |
1 u + 10 |
1 u |
| Total value |
26 u + 260 |
18 u |
Comparing total stickers in
large albums and
small albums |
2 p |
1 p |
Total number of stickers in large albums
= 26 x (1 u + 10)
= 26 u + 260
26 u + 260 =
2 p --- (1)
18 u = 1 p --- (2)
(2)
x2
36 u =
2 p --- (3)
(3) = (1)
36 u = 26 u + 260
36 u - 26 u = 260
10 u = 260
1 u = 260 ÷ 10 = 26
Number of stickers in one large album
= 1 u + 10
= 26 + 10
= 36
Answer(s): 36
