Some stickers are packed into exactly packets of 4.
If the stickers are repacked into packets of 16,
there are 3 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 4 |
Packets of 16 |
Number |
1 u |
1 u - 3 |
Value |
4 |
16 |
Total value |
4 u |
16(1 u - 3) = 16 u - 48 |
(a)
Let the number of packets of 4 be 1 u.
Number of stickers in packets of 4
= 1 u x 4
= 4 u
Number of stickers in packets of 16
= 16 x (1 u - 3)
= 16 u - 48
4 u = 16 u - 48
16 u - 4 u = 48
12 u = 48
1 u = 48 ÷ 12 = 4
Number of packets of 4 = 4
(b)
Number of stickers
= 4 u
= 4 x 4
= 16
Answer(s): (a) 4; (b) 16