Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 10,
there are 2 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 10 |
Number |
1 u |
1 u - 2 |
Value |
6 |
10 |
Total value |
6 u |
10(1 u - 2) = 10 u - 20 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers in packets of 6
= 1 u x 6
= 6 u
Number of stickers in packets of 10
= 10 x (1 u - 2)
= 10 u - 20
6 u = 10 u - 20
10 u - 6 u = 20
4 u = 20
1 u = 20 ÷ 4 = 5
Number of packets of 6 = 5
(b)
Number of stickers
= 6 u
= 6 x 5
= 30
Answer(s): (a) 5; (b) 30