Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 7 less packets and 6 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 10 |
Number |
1 u |
1 u - 7 |
Value |
8 |
10 |
Total value |
8 u |
10 u - 64 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers if they are in packets of 10
= 10(1 u - 7) + 6
= 10 u - 70 + 6
= 10 u - 64
8 u = 10 u - 64
10 u - 8 u = 64
2 u = 64
1 u = 64 ÷ 2 = 32
Number of packets of 8
= 1 u
= 32
(b)
Number of stickers
= 8 u
= 8 x 32
= 256
Answer(s): (a) 32; (b) 256