Ryan put all his stickers into 18 large albums and 11 small albums. Each large album can hold 20 more stickers than each small album.
14 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 |
18 |
11 |
| Value |
1 u + 20 |
1 u |
| Total value |
18 u + 360 |
11 u |
Comparing total stickers in
large albums and
small albums |
3 p |
1 p |
Total number of stickers in large albums
= 18 x (1 u + 20)
= 18 u + 360
18 u + 360 =
3 p --- (1)
11 u = 1 p --- (2)
(2)
x3
33 u =
3 p --- (3)
(3) = (1)
33 u = 18 u + 360
33 u - 18 u = 360
15 u = 360
1 u = 360 ÷ 15 = 24
Number of stickers in one large album
= 1 u + 20
= 24 + 20
= 44
Answer(s): 44
