Some stickers are packed into exactly packets of 12.
If the stickers are repacked into packets of 8,
there are 4 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 12 |
Packets of 8 |
Number |
1 u |
1 u + 4 |
Value |
12 |
8 |
Total value |
12 u |
8 u + 32 |
(a)
Let the number of packets of 12 be 1 u.
Number of stickers if they are in packets of 12
= 12 x 1 u
= 12 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 4)
= 8 u + 32
8 u + 32 = 12 u
12 u - 8 u = 32
4 u = 32
1 u = 32 ÷ 4 = 8
Number of packets of 8
= 1 u + 4
= 8 + 4
= 12
(b)
Number of stickers
= 12 u
= 12 x 8
= 96
Answer(s): (a) 12; (b) 96