Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 9,
there are 8 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 9 |
Number |
1 u |
1 u + 8 |
Value |
14 |
9 |
Total value |
14 u |
9(1 u + 8) + 3 = 9 u + 75 |
(a)
Let the number of packets of 14 be 1 u.
Number of stickers if they are in packets of 14
= 1 u x 14
= 14 u
Number of stickers if they are in packets of 9
= 9 x (1 u + 8) + 3
= 9 u + 72 + 3
= 9 u + 75
14 u = 9 u + 75
14 u - 9 u = 75
5 u = 75
1 u = 75 ÷ 5 = 15
Number of packets of 14
= 1 u
= 15
(b)
Number of stickers
= 14 u
= 14 x 15
= 210
Answer(s): (a) 15; (b) 210