Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 14,
there are 6 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 14 |
Number |
1 u |
1 u - 6 |
Value |
8 |
14 |
Total value |
8 u |
14(1 u - 6) = 14 u - 84 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers in packets of 8
= 1 u x 8
= 8 u
Number of stickers in packets of 14
= 14 x (1 u - 6)
= 14 u - 84
8 u = 14 u - 84
14 u - 8 u = 84
6 u = 84
1 u = 84 ÷ 6 = 14
Number of packets of 8 = 14
(b)
Number of stickers
= 8 u
= 8 x 14
= 112
Answer(s): (a) 14; (b) 112