Some stickers are packed into exactly packets of 11.
If the stickers are repacked into packets of 4,
there are 3 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 11 |
Packets of 4 |
Number |
1 u |
1 u + 3 |
Value |
11 |
4 |
Total value |
11 u |
4(1 u + 3) + 2 = 4 u + 14 |
(a)
Let the number of packets of 11 be 1 u.
Number of stickers if they are in packets of 11
= 1 u x 11
= 11 u
Number of stickers if they are in packets of 4
= 4 x (1 u + 3) + 2
= 4 u + 12 + 2
= 4 u + 14
11 u = 4 u + 14
11 u - 4 u = 14
7 u = 14
1 u = 14 ÷ 7 = 2
Number of packets of 11
= 1 u
= 2
(b)
Number of stickers
= 11 u
= 11 x 2
= 22
Answer(s): (a) 2; (b) 22