Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 5,
there are 4 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 5 |
Number |
1 u |
1 u + 4 |
Value |
16 |
5 |
Total value |
16 u |
5(1 u + 4) + 2 = 5 u + 22 |
(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 5
= 5 x (1 u + 4) + 2
= 5 u + 20 + 2
= 5 u + 22
16 u = 5 u + 22
16 u - 5 u = 22
11 u = 22
1 u = 22 ÷ 11 = 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