Some stickers are packed into exactly packets of 12.
If the stickers are repacked into packets of 6,
there are 3 more packets.
- How many packets of 6 are there?
- How many stickers are there?
|
Packets of 12 |
Packets of 6 |
Number |
1 u |
1 u + 3 |
Value |
12 |
6 |
Total value |
12 u |
6 u + 18 |
(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 6
= 6 x (1 u + 3)
= 6 u + 18
6 u + 18 = 12 u
12 u - 6 u = 18
6 u = 18
1 u = 18 ÷ 6 = 3
Number of packets of 6
= 1 u + 3
= 3 + 3
= 6
(b)
Number of stickers
= 12 u
= 12 x 3
= 36
Answer(s): (a) 6; (b) 36