Some stickers are packed into exactly packets of 5.
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 5 |
Packets of 11 |
Number |
1 u |
1 u - 4 |
Value |
5 |
11 |
Total value |
5 u |
11 u - 42 |
(a)
Let the number of packets of 5 be 1 u.
Number of stickers if they are in packets of 5
= 1 u x 5
= 5 u
Number of stickers if they are in packets of 11
= 11(1 u - 4) + 2
= 11 u - 44 + 2
= 11 u - 42
5 u = 11 u - 42
11 u - 5 u = 42
6 u = 42
1 u = 42 ÷ 6 = 7
Number of packets of 5
= 1 u
= 7
(b)
Number of stickers
= 5 u
= 5 x 7
= 35
Answer(s): (a) 7; (b) 35