Some stickers are packed into exactly packets of 4.
If the stickers are repacked into packets of 12,
there are 2 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 4 |
Packets of 12 |
Number |
1 u |
1 u - 2 |
Value |
4 |
12 |
Total value |
4 u |
12(1 u - 2) = 12 u - 24 |
(a)
Let the number of packets of 4 be 1 u.
Number of stickers in packets of 4
= 1 u x 4
= 4 u
Number of stickers in packets of 12
= 12 x (1 u - 2)
= 12 u - 24
4 u = 12 u - 24
12 u - 4 u = 24
8 u = 24
1 u = 24 ÷ 8 = 3
Number of packets of 4 = 3
(b)
Number of stickers
= 4 u
= 4 x 3
= 12
Answer(s): (a) 3; (b) 12