Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 17,
there are 8 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 17 |
Number |
1 u |
1 u - 8 |
Value |
9 |
17 |
Total value |
9 u |
17(1 u - 8) = 17 u - 136 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers in packets of 9
= 1 u x 9
= 9 u
Number of stickers in packets of 17
= 17 x (1 u - 8)
= 17 u - 136
9 u = 17 u - 136
17 u - 9 u = 136
8 u = 136
1 u = 136 ÷ 8 = 17
Number of packets of 9 = 17
(b)
Number of stickers
= 9 u
= 9 x 17
= 153
Answer(s): (a) 17; (b) 153