Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 7,
there are 6 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 7 |
Number |
1 u |
1 u + 6 |
Value |
11 |
7 |
Total value |
11 u |
7(1 u + 6) + 2 = 7 u + 44 |
(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 7
= 7 x (1 u + 6) + 2
= 7 u + 42 + 2
= 7 u + 44
11 u = 7 u + 44
11 u - 7 u = 44
4 u = 44
1 u = 44 ÷ 4 = 11
Number of packets of 11
= 1 u
= 11
(b)
Number of stickers
= 11 u
= 11 x 11
= 121
Answer(s): (a) 11; (b) 121