Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 11,
there are 4 less packets and 2 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 11 |
Number |
1 u |
1 u - 4 |
Value |
8 |
11 |
Total value |
8 u |
11 u - 42 |
(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 11
= 11(1 u - 4) + 2
= 11 u - 44 + 2
= 11 u - 42
8 u = 11 u - 42
11 u - 8 u = 42
3 u = 42
1 u = 42 ÷ 3 = 14
Number of packets of 8
= 1 u
= 14
(b)
Number of stickers
= 8 u
= 8 x 14
= 112
Answer(s): (a) 14; (b) 112