Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 8,
there are 4 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 8 |
Number |
1 u |
1 u + 4 |
Value |
16 |
8 |
Total value |
16 u |
8 u + 32 |
(a)
Let the number of packets of 16 be 1 u.
Number of stickers if they are in packets of 16
= 16 x 1 u
= 16 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 4)
= 8 u + 32
8 u + 32 = 16 u
16 u - 8 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Number of packets of 8
= 1 u + 4
= 4 + 4
= 8
(b)
Number of stickers
= 16 u
= 16 x 4
= 64
Answer(s): (a) 8; (b) 64