Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 11,
there are 2 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 11 |
Number |
1 u |
1 u - 2 |
Value |
6 |
11 |
Total value |
6 u |
11 u - 15 |
(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
= 11 - 4
= 7
Number of stickers if they are in packets of 11
= 11(1 u - 2) + 7
= 11 u - 22 + 7
= 11 u - 15
6 u = 11 u - 15
11 u - 6 u = 15
5 u = 15
1 u = 15 ÷ 5 = 3
Number of packets of 6
= 1 u
= 3
(b)
Number of stickers
= 6 u
= 6 x 3
= 18
Answer(s): (a) 3; (b) 18