Some stickers are packed into exactly packets of 15.
If the stickers are repacked into packets of 6,
there are 3 more packets.
- How many packets of 6 are there?
- How many stickers are there?
|
Packets of 15 |
Packets of 6 |
Number |
1 u |
1 u + 3 |
Value |
15 |
6 |
Total value |
15 u |
6 u + 18 |
(a)
Let the number of packets of 15 be 1 u.
Number of stickers if they are in packets of 15
= 15 x 1 u
= 15 u
Number of stickers if they are in packets of 6
= 6 x (1 u + 3)
= 6 u + 18
6 u + 18 = 15 u
15 u - 6 u = 18
9 u = 18
1 u = 18 ÷ 9 = 2
Number of packets of 6
= 1 u + 3
= 2 + 3
= 5
(b)
Number of stickers
= 15 u
= 15 x 2
= 30
Answer(s): (a) 5; (b) 30