Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 18,
there are 4 less packets and needs 6 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 18 |
Number |
1 u |
1 u - 4 |
Value |
8 |
18 |
Total value |
8 u |
18 u - 60 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers left if another packet is not packed
= 18 - 6
= 12
Number of stickers if they are in packets of 18
= 18(1 u - 4) + 12
= 18 u - 72 + 12
= 18 u - 60
8 u = 18 u - 60
18 u - 8 u = 60
10 u = 60
1 u = 60 ÷ 10 = 6
Number of packets of 8
= 1 u
= 6
(b)
Number of stickers
= 8 u
= 8 x 6
= 48
Answer(s): (a) 6; (b) 48