Some stickers are packed into exactly packets of 16.
If the stickers are repacked into packets of 7,
there are 6 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 16 |
Packets of 7 |
Number |
1 u |
1 u + 6 |
Value |
16 |
7 |
Total value |
16 u |
7(1 u + 6) + 3 = 7 u + 45 |
(a)
Let the number of packets of 16 be 1 u.
Number of stickers if they are in packets of 16
= 1 u x 16
= 16 u
Number of stickers if they are in packets of 7
= 7 x (1 u + 6) + 3
= 7 u + 42 + 3
= 7 u + 45
16 u = 7 u + 45
16 u - 7 u = 45
9 u = 45
1 u = 45 ÷ 9 = 5
Number of packets of 16
= 1 u
= 5
(b)
Number of stickers
= 16 u
= 16 x 5
= 80
Answer(s): (a) 5; (b) 80