Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 14,
there are 4 less packets and needs 8 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 14 |
Number |
1 u |
1 u - 4 |
Value |
9 |
14 |
Total value |
9 u |
14 u - 50 |
(a)
Let the number of packets of 9 be 1 u.
Number of stickers if they are in packets of 9
= 1 u x 9
= 9 u
Number of stickers left if another packet is not packed
= 14 - 8
= 6
Number of stickers if they are in packets of 14
= 14(1 u - 4) + 6
= 14 u - 56 + 6
= 14 u - 50
9 u = 14 u - 50
14 u - 9 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Number of packets of 9
= 1 u
= 10
(b)
Number of stickers
= 9 u
= 9 x 10
= 90
Answer(s): (a) 10; (b) 90