Some stickers are packed into exactly packets of 13.
If the stickers are repacked into packets of 8,
there are 4 more packets and 3 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 13 |
Packets of 8 |
Number |
1 u |
1 u + 4 |
Value |
13 |
8 |
Total value |
13 u |
8(1 u + 4) + 3 = 8 u + 35 |
(a)
Let the number of packets of 13 be 1 u.
Number of stickers if they are in packets of 13
= 1 u x 13
= 13 u
Number of stickers if they are in packets of 8
= 8 x (1 u + 4) + 3
= 8 u + 32 + 3
= 8 u + 35
13 u = 8 u + 35
13 u - 8 u = 35
5 u = 35
1 u = 35 ÷ 5 = 7
Number of packets of 13
= 1 u
= 7
(b)
Number of stickers
= 13 u
= 13 x 7
= 91
Answer(s): (a) 7; (b) 91