Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 6,
there are 5 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 6 |
Number |
1 u |
1 u + 5 |
Value |
14 |
6 |
Total value |
14 u |
6(1 u + 5) + 2 = 6 u + 32 |
(a)
Let the number of packets of 14 be 1 u.
Number of stickers if they are in packets of 14
= 1 u x 14
= 14 u
Number of stickers if they are in packets of 6
= 6 x (1 u + 5) + 2
= 6 u + 30 + 2
= 6 u + 32
14 u = 6 u + 32
14 u - 6 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Number of packets of 14
= 1 u
= 4
(b)
Number of stickers
= 14 u
= 14 x 4
= 56
Answer(s): (a) 4; (b) 56