Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 14,
there are 7 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 14 |
Number |
1 u |
1 u - 7 |
Value |
8 |
14 |
Total value |
8 u |
14 u - 96 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers if they are in packets of 14
= 14(1 u - 7) + 2
= 14 u - 98 + 2
= 14 u - 96
8 u = 14 u - 96
14 u - 8 u = 96
6 u = 96
1 u = 96 ÷ 6 = 16
Number of packets of 8
= 1 u
= 16
(b)
Number of stickers
= 8 u
= 8 x 16
= 128
Answer(s): (a) 16; (b) 128