Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 11,
there are 6 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 11 |
Number |
1 u |
1 u - 6 |
Value |
8 |
11 |
Total value |
8 u |
11(1 u - 6) = 11 u - 66 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers in packets of 8
= 1 u x 8
= 8 u
Number of stickers in packets of 11
= 11 x (1 u - 6)
= 11 u - 66
8 u = 11 u - 66
11 u - 8 u = 66
3 u = 66
1 u = 66 ÷ 3 = 22
Number of packets of 8 = 22
(b)
Number of stickers
= 8 u
= 8 x 22
= 176
Answer(s): (a) 22; (b) 176