Some stickers are packed into exactly packets of 4.
If the stickers are repacked into packets of 14,
there are 3 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 4 |
Packets of 14 |
Number |
1 u |
1 u - 3 |
Value |
4 |
14 |
Total value |
4 u |
14 u - 40 |
(a)
Let the number of packets of 4 be 1 u.
Number of stickers if they are in packets of 4
= 1 u x 4
= 4 u
Number of stickers if they are in packets of 14
= 14(1 u - 3) + 2
= 14 u - 42 + 2
= 14 u - 40
4 u = 14 u - 40
14 u - 4 u = 40
10 u = 40
1 u = 40 ÷ 10 = 4
Number of packets of 4
= 1 u
= 4
(b)
Number of stickers
= 4 u
= 4 x 4
= 16
Answer(s): (a) 4; (b) 16