Some stickers are packed into exactly packets of 10.
If the stickers are repacked into packets of 8,
there are 7 more packets and 6 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 10 |
Packets of 8 |
Number |
1 u |
1 u + 7 |
Value |
10 |
8 |
Total value |
10 u |
8(1 u + 7) + 6 = 8 u + 62 |
(a)
Let the number of packets of 10 be 1 u.
Number of stickers if they are in packets of 10
= 1 u x 10
= 10 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 7) + 6
= 8 u + 56 + 6
= 8 u + 62
10 u = 8 u + 62
10 u - 8 u = 62
2 u = 62
1 u = 62 ÷ 2 = 31
Number of packets of 10
= 1 u
= 31
(b)
Number of stickers
= 10 u
= 10 x 31
= 310
Answer(s): (a) 31; (b) 310