Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 7,
there are 4 more packets.
- How many packets of 7 are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 7 |
Number |
1 u |
1 u + 4 |
Value |
14 |
7 |
Total value |
14 u |
7 u + 28 |
(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 7
= 7 x (1 u + 4)
= 7 u + 28
7 u + 28 = 14 u
14 u - 7 u = 28
7 u = 28
1 u = 28 ÷ 7 = 4
Number of packets of 7
= 1 u + 4
= 4 + 4
= 8
(b)
Number of stickers
= 14 u
= 14 x 4
= 56
Answer(s): (a) 8; (b) 56