Some stickers are packed into exactly packets of 18.
If the stickers are repacked into packets of 6,
there are 4 more packets.
- How many packets of 6 are there?
- How many stickers are there?
|
Packets of 18 |
Packets of 6 |
Number |
1 u |
1 u + 4 |
Value |
18 |
6 |
Total value |
18 u |
6 u + 24 |
(a)
Let the number of packets of 18 be 1 u.
Number of stickers if they are in packets of 18
= 18 x 1 u
= 18 u
Number of stickers if they are in packets of 6
= 6 x (1 u + 4)
= 6 u + 24
6 u + 24 = 18 u
18 u - 6 u = 24
12 u = 24
1 u = 24 ÷ 12 = 2
Number of packets of 6
= 1 u + 4
= 2 + 4
= 6
(b)
Number of stickers
= 18 u
= 18 x 2
= 36
Answer(s): (a) 6; (b) 36