Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 13,
there are 5 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 13 |
Number |
1 u |
1 u - 5 |
Value |
8 |
13 |
Total value |
8 u |
13(1 u - 5) = 13 u - 65 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers in packets of 8
= 1 u x 8
= 8 u
Number of stickers in packets of 13
= 13 x (1 u - 5)
= 13 u - 65
8 u = 13 u - 65
13 u - 8 u = 65
5 u = 65
1 u = 65 ÷ 5 = 13
Number of packets of 8 = 13
(b)
Number of stickers
= 8 u
= 8 x 13
= 104
Answer(s): (a) 13; (b) 104