Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 14,
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 6 |
Packets of 14 |
Number |
1 u |
1 u - 3 |
Value |
6 |
14 |
Total value |
6 u |
14 u - 32 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers if they are in packets of 6
= 1 u x 6
= 6 u
Number of stickers left if another packet is not packed
= 14 - 4
= 10
Number of stickers if they are in packets of 14
= 14(1 u - 3) + 10
= 14 u - 42 + 10
= 14 u - 32
6 u = 14 u - 32
14 u - 6 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Number of packets of 6
= 1 u
= 4
(b)
Number of stickers
= 6 u
= 6 x 4
= 24
Answer(s): (a) 4; (b) 24