Some stickers are packed into exactly packets of 10.
If the stickers are repacked into packets of 8,
there are 7 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 10 |
Packets of 8 |
Number |
1 u |
1 u + 7 |
Value |
10 |
8 |
Total value |
10 u |
8 u + 56 |
(a)
Let the number of packets of 10 be 1 u.
Number of stickers if they are in packets of 10
= 10 x 1 u
= 10 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 7)
= 8 u + 56
8 u + 56 = 10 u
10 u - 8 u = 56
2 u = 56
1 u = 56 ÷ 2 = 28
Number of packets of 8
= 1 u + 7
= 28 + 7
= 35
(b)
Number of stickers
= 10 u
= 10 x 28
= 280
Answer(s): (a) 35; (b) 280