Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 6,
there are 4 more packets.
- How many packets of 6 are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 6 |
Number |
1 u |
1 u + 4 |
Value |
14 |
6 |
Total value |
14 u |
6 u + 24 |
(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 6
= 6 x (1 u + 4)
= 6 u + 24
6 u + 24 = 14 u
14 u - 6 u = 24
8 u = 24
1 u = 24 ÷ 8 = 3
Number of packets of 6
= 1 u + 4
= 3 + 4
= 7
(b)
Number of stickers
= 14 u
= 14 x 3
= 42
Answer(s): (a) 7; (b) 42