Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 9,
there are 6 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 9 |
Number |
1 u |
1 u + 6 |
Value |
16 |
9 |
Total value |
16 u |
9(1 u + 6) + 2 = 9 u + 56 |
(a)
Let the number of packets of 16 be 1 u.
Number of stickers if they are in packets of 16
= 1 u x 16
= 16 u
Number of stickers if they are in packets of 9
= 9 x (1 u + 6) + 2
= 9 u + 54 + 2
= 9 u + 56
16 u = 9 u + 56
16 u - 9 u = 56
7 u = 56
1 u = 56 ÷ 7 = 8
Number of packets of 16
= 1 u
= 8
(b)
Number of stickers
= 16 u
= 16 x 8
= 128
Answer(s): (a) 8; (b) 128