Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 4,
there are 3 more packets.
- How many packets of 4 are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 4 |
Number |
1 u |
1 u + 3 |
Value |
16 |
4 |
Total value |
16 u |
4 u + 12 |
(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 4
= 4 x (1 u + 3)
= 4 u + 12
4 u + 12 = 16 u
16 u - 4 u = 12
12 u = 12
1 u = 12 ÷ 12 = 1
Number of packets of 4
= 1 u + 3
= 1 + 3
= 4
(b)
Number of stickers
= 16 u
= 16 x 1
= 16
Answer(s): (a) 4; (b) 16