Some stickers are packed into exactly packets of 13.
If the stickers are repacked into packets of 8,
there are 5 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 13 |
Packets of 8 |
Number |
1 u |
1 u + 5 |
Value |
13 |
8 |
Total value |
13 u |
8 u + 40 |
(a)
Let the number of packets of 13 be 1 u.
Number of stickers if they are in packets of 13
= 13 x 1 u
= 13 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 5)
= 8 u + 40
8 u + 40 = 13 u
13 u - 8 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Number of packets of 8
= 1 u + 5
= 8 + 5
= 13
(b)
Number of stickers
= 13 u
= 13 x 8
= 104
Answer(s): (a) 13; (b) 104