Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 8,
there are 6 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 8 |
Number |
1 u |
1 u + 6 |
Value |
11 |
8 |
Total value |
11 u |
8(1 u + 6) + 3 = 8 u + 51 |
(a)
Let the number of packets of 11 be 1 u.
Number of stickers if they are in packets of 11
= 1 u x 11
= 11 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 6) + 3
= 8 u + 48 + 3
= 8 u + 51
11 u = 8 u + 51
11 u - 8 u = 51
3 u = 51
1 u = 51 ÷ 3 = 17
Number of packets of 11
= 1 u
= 17
(b)
Number of stickers
= 11 u
= 11 x 17
= 187
Answer(s): (a) 17; (b) 187