Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 11,
there are 8 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 11 |
Number |
1 u |
1 u - 8 |
Value |
9 |
11 |
Total value |
9 u |
11(1 u - 8) = 11 u - 88 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers in packets of 9
= 1 u x 9
= 9 u
Number of stickers in packets of 11
= 11 x (1 u - 8)
= 11 u - 88
9 u = 11 u - 88
11 u - 9 u = 88
2 u = 88
1 u = 88 ÷ 2 = 44
Number of packets of 9 = 44
(b)
Number of stickers
= 9 u
= 9 x 44
= 396
Answer(s): (a) 44; (b) 396