Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 10,
there are 7 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 10 |
Number |
1 u |
1 u - 7 |
Value |
8 |
10 |
Total value |
8 u |
10(1 u - 7) = 10 u - 70 |
(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 10
= 10 x (1 u - 7)
= 10 u - 70
8 u = 10 u - 70
10 u - 8 u = 70
2 u = 70
1 u = 70 ÷ 2 = 35
Number of packets of 8 = 35
(b)
Number of stickers
= 8 u
= 8 x 35
= 280
Answer(s): (a) 35; (b) 280