Some stickers are packed into exactly packets of 4.
If the stickers are repacked into packets of 11,
there are 2 less packets and needs 3 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 4 |
Packets of 11 |
Number |
1 u |
1 u - 2 |
Value |
4 |
11 |
Total value |
4 u |
11 u - 14 |
(a)
Let the number of packets of 4 be 1 u.
Number of stickers if they are in packets of 4
= 1 u x 4
= 4 u
Number of stickers left if another packet is not packed
= 11 - 3
= 8
Number of stickers if they are in packets of 11
= 11(1 u - 2) + 8
= 11 u - 22 + 8
= 11 u - 14
4 u = 11 u - 14
11 u - 4 u = 14
7 u = 14
1 u = 14 ÷ 7 = 2
Number of packets of 4
= 1 u
= 2
(b)
Number of stickers
= 4 u
= 4 x 2
= 8
Answer(s): (a) 2; (b) 8