Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 16,
there are 2 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 16 |
Number |
1 u |
1 u - 2 |
Value |
8 |
16 |
Total value |
8 u |
16(1 u - 2) = 16 u - 32 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers in packets of 8
= 1 u x 8
= 8 u
Number of stickers in packets of 16
= 16 x (1 u - 2)
= 16 u - 32
8 u = 16 u - 32
16 u - 8 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Number of packets of 8 = 4
(b)
Number of stickers
= 8 u
= 8 x 4
= 32
Answer(s): (a) 4; (b) 32