Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 5 less packets and needs 6 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 10 |
Number |
1 u |
1 u - 5 |
Value |
8 |
10 |
Total value |
8 u |
10 u - 46 |
(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
= 10 - 6
= 4
Number of stickers if they are in packets of 10
= 10(1 u - 5) + 4
= 10 u - 50 + 4
= 10 u - 46
8 u = 10 u - 46
10 u - 8 u = 46
2 u = 46
1 u = 46 ÷ 2 = 23
Number of packets of 8
= 1 u
= 23
(b)
Number of stickers
= 8 u
= 8 x 23
= 184
Answer(s): (a) 23; (b) 184