Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 8,
there are 7 more packets and 4 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 8 |
Number |
1 u |
1 u + 7 |
Value |
14 |
8 |
Total value |
14 u |
8(1 u + 7) + 4 = 8 u + 60 |
(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 8
= 8 x (1 u + 7) + 4
= 8 u + 56 + 4
= 8 u + 60
14 u = 8 u + 60
14 u - 8 u = 60
6 u = 60
1 u = 60 ÷ 6 = 10
Number of packets of 14
= 1 u
= 10
(b)
Number of stickers
= 14 u
= 14 x 10
= 140
Answer(s): (a) 10; (b) 140