Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 10,
there are 4 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 10 |
Number |
1 u |
1 u - 4 |
Value |
9 |
10 |
Total value |
9 u |
10(1 u - 4) = 10 u - 40 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers in packets of 9
= 1 u x 9
= 9 u
Number of stickers in packets of 10
= 10 x (1 u - 4)
= 10 u - 40
9 u = 10 u - 40
10 u - 9 u = 40
1 u = 40
1 u = 40 ÷ 1 = 40
Number of packets of 9 = 40
(b)
Number of stickers
= 9 u
= 9 x 40
= 360
Answer(s): (a) 40; (b) 360