Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 6,
there are 5 more packets.
- How many packets of 6 are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 6 |
Number |
1 u |
1 u + 5 |
Value |
11 |
6 |
Total value |
11 u |
6 u + 30 |
(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 6
= 6 x (1 u + 5)
= 6 u + 30
6 u + 30 = 11 u
11 u - 6 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6
Number of packets of 6
= 1 u + 5
= 6 + 5
= 11
(b)
Number of stickers
= 11 u
= 11 x 6
= 66
Answer(s): (a) 11; (b) 66