Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 15,
there are 7 less packets and 3 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 15 |
Number |
1 u |
1 u - 7 |
Value |
9 |
15 |
Total value |
9 u |
15 u - 102 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers if they are in packets of 9
= 1 u x 9
= 9 u
Number of stickers if they are in packets of 15
= 15(1 u - 7) + 3
= 15 u - 105 + 3
= 15 u - 102
9 u = 15 u - 102
15 u - 9 u = 102
6 u = 102
1 u = 102 ÷ 6 = 17
Number of packets of 9
= 1 u
= 17
(b)
Number of stickers
= 9 u
= 9 x 17
= 153
Answer(s): (a) 17; (b) 153