Gabriel put all his stickers into 19 large albums and 10 small albums. Each large album can hold 17 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 |
19 |
10 |
| Value |
1 u + 17 |
1 u |
| Total value |
19 u + 323 |
10 u |
Comparing total stickers in
large albums and
small albums |
2 p |
1 p |
Total number of stickers in large albums
= 19 x (1 u + 17)
= 19 u + 323
19 u + 323 =
2 p --- (1)
10 u = 1 p --- (2)
(2)
x2
20 u =
2 p --- (3)
(3) = (1)
20 u = 19 u + 323
20 u - 19 u = 323
1 u = 323
1 u = 323 ÷ 1 = 323
Number of stickers in one large album
= 1 u + 17
= 323 + 17
= 340
Answer(s): 340
