Some stickers are packed into exactly packets of 14.
If the stickers are repacked into packets of 9,
there are 7 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 14 |
Packets of 9 |
Number |
1 u |
1 u + 7 |
Value |
14 |
9 |
Total value |
14 u |
9(1 u + 7) + 2 = 9 u + 65 |
(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 + 7) + 2
= 9 u + 63 + 2
= 9 u + 65
14 u = 9 u + 65
14 u - 9 u = 65
5 u = 65
1 u = 65 ÷ 5 = 13
Number of packets of 14
= 1 u
= 13
(b)
Number of stickers
= 14 u
= 14 x 13
= 182
Answer(s): (a) 13; (b) 182