Some stickers are packed into exactly packets of 7.
If the stickers are repacked into packets of 12,
there are 6 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 7 |
Packets of 12 |
Number |
1 u |
1 u - 6 |
Value |
7 |
12 |
Total value |
7 u |
12 u - 70 |
(a)
Let the number of packets of 7 be 1 u.
Number of stickers if they are in packets of 7
= 1 u x 7
= 7 u
Number of stickers if they are in packets of 12
= 12(1 u - 6) + 2
= 12 u - 72 + 2
= 12 u - 70
7 u = 12 u - 70
12 u - 7 u = 70
5 u = 70
1 u = 70 ÷ 5 = 14
Number of packets of 7
= 1 u
= 14
(b)
Number of stickers
= 7 u
= 7 x 14
= 98
Answer(s): (a) 14; (b) 98