Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 13,
there are 7 less packets and 6 stickers extra.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 13 |
Number |
1 u |
1 u - 7 |
Value |
8 |
13 |
Total value |
8 u |
13 u - 85 |
(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 - 7) + 6
= 13 u - 91 + 6
= 13 u - 85
8 u = 13 u - 85
13 u - 8 u = 85
5 u = 85
1 u = 85 ÷ 5 = 17
Number of packets of 8
= 1 u
= 17
(b)
Number of stickers
= 8 u
= 8 x 17
= 136
Answer(s): (a) 17; (b) 136