Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 18,
there are 4 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 18 |
Number |
1 u |
1 u - 4 |
Value |
6 |
18 |
Total value |
6 u |
18(1 u - 4) = 18 u - 72 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers in packets of 6
= 1 u x 6
= 6 u
Number of stickers in packets of 18
= 18 x (1 u - 4)
= 18 u - 72
6 u = 18 u - 72
18 u - 6 u = 72
12 u = 72
1 u = 72 ÷ 12 = 6
Number of packets of 6 = 6
(b)
Number of stickers
= 6 u
= 6 x 6
= 36
Answer(s): (a) 6; (b) 36