Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 9,
there are 8 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 9 |
Number |
1 u |
1 u + 8 |
Value |
11 |
9 |
Total value |
11 u |
9(1 u + 8) + 2 = 9 u + 74 |
(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 9
= 9 x (1 u + 8) + 2
= 9 u + 72 + 2
= 9 u + 74
11 u = 9 u + 74
11 u - 9 u = 74
2 u = 74
1 u = 74 ÷ 2 = 37
Number of packets of 11
= 1 u
= 37
(b)
Number of stickers
= 11 u
= 11 x 37
= 407
Answer(s): (a) 37; (b) 407