Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 11,
there are 4 less packets and needs 5 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 11 |
Number |
1 u |
1 u - 4 |
Value |
9 |
11 |
Total value |
9 u |
11 u - 38 |
(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
= 11 - 5
= 6
Number of stickers if they are in packets of 11
= 11(1 u - 4) + 6
= 11 u - 44 + 6
= 11 u - 38
9 u = 11 u - 38
11 u - 9 u = 38
2 u = 38
1 u = 38 ÷ 2 = 19
Number of packets of 9
= 1 u
= 19
(b)
Number of stickers
= 9 u
= 9 x 19
= 171
Answer(s): (a) 19; (b) 171