Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 8,
there are 6 more packets.
- How many packets of 8 are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 8 |
Number |
1 u |
1 u + 6 |
Value |
11 |
8 |
Total value |
11 u |
8 u + 48 |
(a)
Let the number of packets of 11 be 1 u.
Number of stickers if they are in packets of 11
= 11 x 1 u
= 11 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 6)
= 8 u + 48
8 u + 48 = 11 u
11 u - 8 u = 48
3 u = 48
1 u = 48 ÷ 3 = 16
Number of packets of 8
= 1 u + 6
= 16 + 6
= 22
(b)
Number of stickers
= 11 u
= 11 x 16
= 176
Answer(s): (a) 22; (b) 176