Some stickers are packed into exactly packets of 5.
If the stickers are repacked into packets of 14,
there are 4 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 5 |
Packets of 14 |
Number |
1 u |
1 u - 4 |
Value |
5 |
14 |
Total value |
5 u |
14 u - 54 |
(a)
Let the number of packets of 5 be 1 u.
Number of stickers if they are in packets of 5
= 1 u x 5
= 5 u
Number of stickers if they are in packets of 14
= 14(1 u - 4) + 2
= 14 u - 56 + 2
= 14 u - 54
5 u = 14 u - 54
14 u - 5 u = 54
9 u = 54
1 u = 54 ÷ 9 = 6
Number of packets of 5
= 1 u
= 6
(b)
Number of stickers
= 5 u
= 5 x 6
= 30
Answer(s): (a) 6; (b) 30