Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 7 less packets and 2 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 - 68 |
(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) + 2
= 10 u - 70 + 2
= 10 u - 68
8 u = 10 u - 68
10 u - 8 u = 68
2 u = 68
1 u = 68 ÷ 2 = 34
Number of packets of 8
= 1 u
= 34
(b)
Number of stickers
= 8 u
= 8 x 34
= 272
Answer(s): (a) 34; (b) 272