Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 3 less packets and needs 4 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 10 |
Number |
1 u |
1 u - 3 |
Value |
8 |
10 |
Total value |
8 u |
10 u - 24 |
(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
= 10 - 4
= 6
Number of stickers if they are in packets of 10
= 10(1 u - 3) + 6
= 10 u - 30 + 6
= 10 u - 24
8 u = 10 u - 24
10 u - 8 u = 24
2 u = 24
1 u = 24 ÷ 2 = 12
Number of packets of 8
= 1 u
= 12
(b)
Number of stickers
= 8 u
= 8 x 12
= 96
Answer(s): (a) 12; (b) 96