Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 7,
there are 3 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 + 3 |
Value |
14 |
7 |
Total value |
14 u |
7 u + 21 |
(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 + 3)
= 7 u + 21
7 u + 21 = 14 u
14 u - 7 u = 21
7 u = 21
1 u = 21 ÷ 7 = 3
Number of packets of 7
= 1 u + 3
= 3 + 3
= 6
(b)
Number of stickers
= 14 u
= 14 x 3
= 42
Answer(s): (a) 6; (b) 42