Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 11,
there are 5 less packets and needs 7 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 11 |
Number |
1 u |
1 u - 5 |
Value |
8 |
11 |
Total value |
8 u |
11 u - 51 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers left if another packet is not packed
= 11 - 7
= 4
Number of stickers if they are in packets of 11
= 11(1 u - 5) + 4
= 11 u - 55 + 4
= 11 u - 51
8 u = 11 u - 51
11 u - 8 u = 51
3 u = 51
1 u = 51 ÷ 3 = 17
Number of packets of 8
= 1 u
= 17
(b)
Number of stickers
= 8 u
= 8 x 17
= 136
Answer(s): (a) 17; (b) 136