Some stickers are packed into exactly packets of 9.
If the stickers are repacked into packets of 14,
there are 5 less packets.
- How many packets are there?
- How many stickers are there?
|
Packets of 9 |
Packets of 14 |
Number |
1 u |
1 u - 5 |
Value |
9 |
14 |
Total value |
9 u |
14(1 u - 5) = 14 u - 70 |
(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 14
= 14 x (1 u - 5)
= 14 u - 70
9 u = 14 u - 70
14 u - 9 u = 70
5 u = 70
1 u = 70 ÷ 5 = 14
Number of packets of 9 = 14
(b)
Number of stickers
= 9 u
= 9 x 14
= 126
Answer(s): (a) 14; (b) 126