Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 8,
there are 6 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 8 |
Number |
1 u |
1 u + 6 |
Value |
14 |
8 |
Total value |
14 u |
8 u + 48 |
(a)
Let the number of packets of 14 be 1 u.
Number of stickers if they are in packets of 14
= 14 x 1 u
= 14 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 6)
= 8 u + 48
8 u + 48 = 14 u
14 u - 8 u = 48
6 u = 48
1 u = 48 ÷ 6 = 8
Number of packets of 8
= 1 u + 6
= 8 + 6
= 14
(b)
Number of stickers
= 14 u
= 14 x 8
= 112
Answer(s): (a) 14; (b) 112