Some stickers are packed into exactly packets of 10.
If the stickers are repacked into packets of 8,
there are 5 more packets and 4 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 10 |
Packets of 8 |
Number |
1 u |
1 u + 5 |
Value |
10 |
8 |
Total value |
10 u |
8(1 u + 5) + 4 = 8 u + 44 |
(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 + 5) + 4
= 8 u + 40 + 4
= 8 u + 44
10 u = 8 u + 44
10 u - 8 u = 44
2 u = 44
1 u = 44 ÷ 2 = 22
Number of packets of 10
= 1 u
= 22
(b)
Number of stickers
= 10 u
= 10 x 22
= 220
Answer(s): (a) 22; (b) 220