Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 4 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 10 |
Number |
1 u |
1 u - 4 |
Value |
8 |
10 |
Total value |
8 u |
10(1 u - 4) = 10 u - 40 |
(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 10
= 10 x (1 u - 4)
= 10 u - 40
8 u = 10 u - 40
10 u - 8 u = 40
2 u = 40
1 u = 40 ÷ 2 = 20
Number of packets of 8 = 20
(b)
Number of stickers
= 8 u
= 8 x 20
= 160
Answer(s): (a) 20; (b) 160