Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 9,
there are 5 more packets.
- How many packets of 9 are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 9 |
Number |
1 u |
1 u + 5 |
Value |
14 |
9 |
Total value |
14 u |
9 u + 45 |
(a)
Let the number of packets of 14 be 1 u.
Number of stickers if they are in packets of 14
= 14 x 1 u
= 14 u
Number of stickers if they are in packets of 9
= 9 x (1 u + 5)
= 9 u + 45
9 u + 45 = 14 u
14 u - 9 u = 45
5 u = 45
1 u = 45 ÷ 5 = 9
Number of packets of 9
= 1 u + 5
= 9 + 5
= 14
(b)
Number of stickers
= 14 u
= 14 x 9
= 126
Answer(s): (a) 14; (b) 126