Some stickers are packed into exactly packets of 19.
If the stickers are repacked into packets of 6,
there are 4 more packets and 2 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 19 |
Packets of 6 |
Number |
1 u |
1 u + 4 |
Value |
19 |
6 |
Total value |
19 u |
6(1 u + 4) + 2 = 6 u + 26 |
(a)
Let the number of packets of 19 be 1 u.
Number of stickers if they are in packets of 19
= 1 u x 19
= 19 u
Number of stickers if they are in packets of 6
= 6 x (1 u + 4) + 2
= 6 u + 24 + 2
= 6 u + 26
19 u = 6 u + 26
19 u - 6 u = 26
13 u = 26
1 u = 26 ÷ 13 = 2
Number of packets of 19
= 1 u
= 2
(b)
Number of stickers
= 19 u
= 19 x 2
= 38
Answer(s): (a) 2; (b) 38