Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 14,
there are 3 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 14 |
Number |
1 u |
1 u - 3 |
Value |
6 |
14 |
Total value |
6 u |
14 u - 40 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers if they are in packets of 6
= 1 u x 6
= 6 u
Number of stickers if they are in packets of 14
= 14(1 u - 3) + 2
= 14 u - 42 + 2
= 14 u - 40
6 u = 14 u - 40
14 u - 6 u = 40
8 u = 40
1 u = 40 ÷ 8 = 5
Number of packets of 6
= 1 u
= 5
(b)
Number of stickers
= 6 u
= 6 x 5
= 30
Answer(s): (a) 5; (b) 30