Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 11,
there are 7 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 - 7 |
Value |
8 |
11 |
Total value |
8 u |
11 u - 75 |
(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 - 7) + 2
= 11 u - 77 + 2
= 11 u - 75
8 u = 11 u - 75
11 u - 8 u = 75
3 u = 75
1 u = 75 ÷ 3 = 25
Number of packets of 8
= 1 u
= 25
(b)
Number of stickers
= 8 u
= 8 x 25
= 200
Answer(s): (a) 25; (b) 200