Some stickers are packed into exactly packets of 10.
If the stickers are repacked into packets of 6,
there are 5 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 10 |
Packets of 6 |
Number |
1 u |
1 u + 5 |
Value |
10 |
6 |
Total value |
10 u |
6(1 u + 5) + 2 = 6 u + 32 |
(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 6
= 6 x (1 u + 5) + 2
= 6 u + 30 + 2
= 6 u + 32
10 u = 6 u + 32
10 u - 6 u = 32
4 u = 32
1 u = 32 ÷ 4 = 8
Number of packets of 10
= 1 u
= 8
(b)
Number of stickers
= 10 u
= 10 x 8
= 80
Answer(s): (a) 8; (b) 80