Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 12,
there are 6 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 12 |
Number |
1 u |
1 u - 6 |
Value |
9 |
12 |
Total value |
9 u |
12(1 u - 6) = 12 u - 72 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers in packets of 9
= 1 u x 9
= 9 u
Number of stickers in packets of 12
= 12 x (1 u - 6)
= 12 u - 72
9 u = 12 u - 72
12 u - 9 u = 72
3 u = 72
1 u = 72 ÷ 3 = 24
Number of packets of 9 = 24
(b)
Number of stickers
= 9 u
= 9 x 24
= 216
Answer(s): (a) 24; (b) 216