Some stickers are packed into exactly packets of 20.
If the stickers are repacked into packets of 8,
there are 3 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 20 |
Packets of 8 |
Number |
1 u |
1 u + 3 |
Value |
20 |
8 |
Total value |
20 u |
8 u + 24 |
(a)
Let the number of packets of 20 be 1 u.
Number of stickers if they are in packets of 20
= 20 x 1 u
= 20 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 3)
= 8 u + 24
8 u + 24 = 20 u
20 u - 8 u = 24
12 u = 24
1 u = 24 ÷ 12 = 2
Number of packets of 8
= 1 u + 3
= 2 + 3
= 5
(b)
Number of stickers
= 20 u
= 20 x 2
= 40
Answer(s): (a) 5; (b) 40