Some stickers are packed into exactly packets of 8.
If the stickers are repacked into packets of 19,
there are 3 less packets and needs 6 more stickers to make another packet.
- How many packets are there?
- How many stickers are there?
|
Packets of 8 |
Packets of 19 |
Number |
1 u |
1 u - 3 |
Value |
8 |
19 |
Total value |
8 u |
19 u - 44 |
(a)
Let the number of packets of 8 be 1 u.
Number of stickers if they are in packets of 8
= 1 u x 8
= 8 u
Number of stickers left if another packet is not packed
= 19 - 6
= 13
Number of stickers if they are in packets of 19
= 19(1 u - 3) + 13
= 19 u - 57 + 13
= 19 u - 44
8 u = 19 u - 44
19 u - 8 u = 44
11 u = 44
1 u = 44 ÷ 11 = 4
Number of packets of 8
= 1 u
= 4
(b)
Number of stickers
= 8 u
= 8 x 4
= 32
Answer(s): (a) 4; (b) 32