Some stickers are packed into exactly packets of 17.
If the stickers are repacked into packets of 9,
there are 5 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 17 |
Packets of 9 |
Number |
1 u |
1 u + 5 |
Value |
17 |
9 |
Total value |
17 u |
9(1 u + 5) + 3 = 9 u + 48 |
(a)
Let the number of packets of 17 be 1 u.
Number of stickers if they are in packets of 17
= 1 u x 17
= 17 u
Number of stickers if they are in packets of 9
= 9 x (1 u + 5) + 3
= 9 u + 45 + 3
= 9 u + 48
17 u = 9 u + 48
17 u - 9 u = 48
8 u = 48
1 u = 48 ÷ 8 = 6
Number of packets of 17
= 1 u
= 6
(b)
Number of stickers
= 17 u
= 17 x 6
= 102
Answer(s): (a) 6; (b) 102