Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 14,
there are 4 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 14 |
Number |
1 u |
1 u - 4 |
Value |
6 |
14 |
Total value |
6 u |
14(1 u - 4) = 14 u - 56 |
(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 14
= 14 x (1 u - 4)
= 14 u - 56
6 u = 14 u - 56
14 u - 6 u = 56
8 u = 56
1 u = 56 ÷ 8 = 7
Number of packets of 6 = 7
(b)
Number of stickers
= 6 u
= 6 x 7
= 42
Answer(s): (a) 7; (b) 42