Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 18,
there are 2 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 18 |
Number |
1 u |
1 u - 2 |
Value |
6 |
18 |
Total value |
6 u |
18(1 u - 2) = 18 u - 36 |
(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 - 2)
= 18 u - 36
6 u = 18 u - 36
18 u - 6 u = 36
12 u = 36
1 u = 36 ÷ 12 = 3
Number of packets of 6 = 3
(b)
Number of stickers
= 6 u
= 6 x 3
= 18
Answer(s): (a) 3; (b) 18