Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 11,
there are 5 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 11 |
Number |
1 u |
1 u - 5 |
Value |
6 |
11 |
Total value |
6 u |
11(1 u - 5) = 11 u - 55 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers in packets of 6
= 1 u x 6
= 6 u
Number of stickers in packets of 11
= 11 x (1 u - 5)
= 11 u - 55
6 u = 11 u - 55
11 u - 6 u = 55
5 u = 55
1 u = 55 ÷ 5 = 11
Number of packets of 6 = 11
(b)
Number of stickers
= 6 u
= 6 x 11
= 66
Answer(s): (a) 11; (b) 66