Some stickers are packed into exactly packets of 13.
If the stickers are repacked into packets of 7,
there are 6 more packets.
- How many packets of 7 are there?
- How many stickers are there?
|
Packets of 13 |
Packets of 7 |
Number |
1 u |
1 u + 6 |
Value |
13 |
7 |
Total value |
13 u |
7 u + 42 |
(a)
Let the number of packets of 13 be 1 u.
Number of stickers if they are in packets of 13
= 13 x 1 u
= 13 u
Number of stickers if they are in packets of 7
= 7 x (1 u + 6)
= 7 u + 42
7 u + 42 = 13 u
13 u - 7 u = 42
6 u = 42
1 u = 42 ÷ 6 = 7
Number of packets of 7
= 1 u + 6
= 7 + 6
= 13
(b)
Number of stickers
= 13 u
= 13 x 7
= 91
Answer(s): (a) 13; (b) 91