Some stickers are packed into exactly packets of 18.
If the stickers are repacked into packets of 4,
there are 3 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 18 |
Packets of 4 |
Number |
1 u |
1 u + 3 |
Value |
18 |
4 |
Total value |
18 u |
4(1 u + 3) + 2 = 4 u + 14 |
(a)
Let the number of packets of 18 be 1 u.
Number of stickers if they are in packets of 18
= 1 u x 18
= 18 u
Number of stickers if they are in packets of 4
= 4 x (1 u + 3) + 2
= 4 u + 12 + 2
= 4 u + 14
18 u = 4 u + 14
18 u - 4 u = 14
14 u = 14
1 u = 14 ÷ 14 = 1
Number of packets of 18
= 1 u
= 1
(b)
Number of stickers
= 18 u
= 18 x 1
= 18
Answer(s): (a) 1; (b) 18