Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 13,
there are 8 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 13 |
Number |
1 u |
1 u - 8 |
Value |
9 |
13 |
Total value |
9 u |
13(1 u - 8) = 13 u - 104 |
(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 13
= 13 x (1 u - 8)
= 13 u - 104
9 u = 13 u - 104
13 u - 9 u = 104
4 u = 104
1 u = 104 ÷ 4 = 26
Number of packets of 9 = 26
(b)
Number of stickers
= 9 u
= 9 x 26
= 234
Answer(s): (a) 26; (b) 234