Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 17,
there are 3 less packets and needs 6 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 17 |
Number |
1 u |
1 u - 3 |
Value |
9 |
17 |
Total value |
9 u |
17 u - 40 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers if they are in packets of 9
= 1 u x 9
= 9 u
Number of stickers left if another packet is not packed
= 17 - 6
= 11
Number of stickers if they are in packets of 17
= 17(1 u - 3) + 11
= 17 u - 51 + 11
= 17 u - 40
9 u = 17 u - 40
17 u - 9 u = 40
8 u = 40
1 u = 40 ÷ 8 = 5
Number of packets of 9
= 1 u
= 5
(b)
Number of stickers
= 9 u
= 9 x 5
= 45
Answer(s): (a) 5; (b) 45