Some stickers are packed into exactly packets of 6.
If the stickers are repacked into packets of 15,
there are 5 less packets and 3 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 6 |
Packets of 15 |
Number |
1 u |
1 u - 5 |
Value |
6 |
15 |
Total value |
6 u |
15 u - 72 |
(a)
Let the number of packets of 6 be 1 u.
Number of stickers if they are in packets of 6
= 1 u x 6
= 6 u
Number of stickers if they are in packets of 15
= 15(1 u - 5) + 3
= 15 u - 75 + 3
= 15 u - 72
6 u = 15 u - 72
15 u - 6 u = 72
9 u = 72
1 u = 72 ÷ 9 = 8
Number of packets of 6
= 1 u
= 8
(b)
Number of stickers
= 6 u
= 6 x 8
= 48
Answer(s): (a) 8; (b) 48