Some stickers are packed into exactly packets of 12.
If the stickers are repacked into packets of 7,
there are 6 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 12 |
Packets of 7 |
Number |
1 u |
1 u + 6 |
Value |
12 |
7 |
Total value |
12 u |
7(1 u + 6) + 3 = 7 u + 45 |
(a)
Let the number of packets of 12 be 1 u.
Number of stickers if they are in packets of 12
= 1 u x 12
= 12 u
Number of stickers if they are in packets of 7
= 7 x (1 u + 6) + 3
= 7 u + 42 + 3
= 7 u + 45
12 u = 7 u + 45
12 u - 7 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Number of packets of 12
= 1 u
= 9
(b)
Number of stickers
= 12 u
= 12 x 9
= 108
Answer(s): (a) 9; (b) 108