Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 13,
there are 6 less packets and 3 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 13 |
Number |
1 u |
1 u - 6 |
Value |
8 |
13 |
Total value |
8 u |
13 u - 75 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers if they are in packets of 13
= 13(1 u - 6) + 3
= 13 u - 78 + 3
= 13 u - 75
8 u = 13 u - 75
13 u - 8 u = 75
5 u = 75
1 u = 75 ÷ 5 = 15
Number of packets of 8
= 1 u
= 15
(b)
Number of stickers
= 8 u
= 8 x 15
= 120
Answer(s): (a) 15; (b) 120