Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 20,
there are 6 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 20 |
Number |
1 u |
1 u - 6 |
Value |
8 |
20 |
Total value |
8 u |
20(1 u - 6) = 20 u - 120 |
(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 20
= 20 x (1 u - 6)
= 20 u - 120
8 u = 20 u - 120
20 u - 8 u = 120
12 u = 120
1 u = 120 ÷ 12 = 10
Number of packets of 8 = 10
(b)
Number of stickers
= 8 u
= 8 x 10
= 80
Answer(s): (a) 10; (b) 80