Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 6,
there are 3 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 6 |
Number |
1 u |
1 u + 3 |
Value |
16 |
6 |
Total value |
16 u |
6(1 u + 3) + 2 = 6 u + 20 |
(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 6
= 6 x (1 u + 3) + 2
= 6 u + 18 + 2
= 6 u + 20
16 u = 6 u + 20
16 u - 6 u = 20
10 u = 20
1 u = 20 ÷ 10 = 2
Number of packets of 16
= 1 u
= 2
(b)
Number of stickers
= 16 u
= 16 x 2
= 32
Answer(s): (a) 2; (b) 32