Some stickers are packed into exactly packets of 12.
If the stickers are repacked into packets of 4,
there are 2 more packets.
- How many packets of 4 are there?
- How many stickers are there?
|
Packets of 12 |
Packets of 4 |
Number |
1 u |
1 u + 2 |
Value |
12 |
4 |
Total value |
12 u |
4 u + 8 |
(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 4
= 4 x (1 u + 2)
= 4 u + 8
4 u + 8 = 12 u
12 u - 4 u = 8
8 u = 8
1 u = 8 ÷ 8 = 1
Number of packets of 4
= 1 u + 2
= 1 + 2
= 3
(b)
Number of stickers
= 12 u
= 12 x 1
= 12
Answer(s): (a) 3; (b) 12