Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 17,
there are 2 less packets and needs 5 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 17 |
Number |
1 u |
1 u - 2 |
Value |
6 |
17 |
Total value |
6 u |
17 u - 22 |
(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
= 17 - 5
= 12
Number of stickers if they are in packets of 17
= 17(1 u - 2) + 12
= 17 u - 34 + 12
= 17 u - 22
6 u = 17 u - 22
17 u - 6 u = 22
11 u = 22
1 u = 22 ÷ 11 = 2
Number of packets of 6
= 1 u
= 2
(b)
Number of stickers
= 6 u
= 6 x 2
= 12
Answer(s): (a) 2; (b) 12