Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 10,
there are 3 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 10 |
Number |
1 u |
1 u - 3 |
Value |
6 |
10 |
Total value |
6 u |
10 u - 28 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers if they are in packets of 6
= 1 u x 6
= 6 u
Number of stickers if they are in packets of 10
= 10(1 u - 3) + 2
= 10 u - 30 + 2
= 10 u - 28
6 u = 10 u - 28
10 u - 6 u = 28
4 u = 28
1 u = 28 ÷ 4 = 7
Number of packets of 6
= 1 u
= 7
(b)
Number of stickers
= 6 u
= 6 x 7
= 42
Answer(s): (a) 7; (b) 42