Some stickers are packed into exactly packets of 15.
If the stickers are repacked into packets of 6,
there are 4 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 15 |
Packets of 6 |
Number |
1 u |
1 u + 4 |
Value |
15 |
6 |
Total value |
15 u |
6(1 u + 4) + 3 = 6 u + 27 |
(a)
Let the number of packets of 15 be 1 u.
Number of stickers if they are in packets of 15
= 1 u x 15
= 15 u
Number of stickers if they are in packets of 6
= 6 x (1 u + 4) + 3
= 6 u + 24 + 3
= 6 u + 27
15 u = 6 u + 27
15 u - 6 u = 27
9 u = 27
1 u = 27 ÷ 9 = 3
Number of packets of 15
= 1 u
= 3
(b)
Number of stickers
= 15 u
= 15 x 3
= 45
Answer(s): (a) 3; (b) 45