Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 12,
there are 7 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 12 |
Number |
1 u |
1 u - 7 |
Value |
8 |
12 |
Total value |
8 u |
12(1 u - 7) = 12 u - 84 |
(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 12
= 12 x (1 u - 7)
= 12 u - 84
8 u = 12 u - 84
12 u - 8 u = 84
4 u = 84
1 u = 84 ÷ 4 = 21
Number of packets of 8 = 21
(b)
Number of stickers
= 8 u
= 8 x 21
= 168
Answer(s): (a) 21; (b) 168