Some stickers are packed into exactly packets of 19.
If the stickers are repacked into packets of 8,
there are 5 more packets and 4 stickers left.
- How many packets are there?
- How many stickers are there?
|
Packets of 19 |
Packets of 8 |
Number |
1 u |
1 u + 5 |
Value |
19 |
8 |
Total value |
19 u |
8(1 u + 5) + 4 = 8 u + 44 |
(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 8
= 8 x (1 u + 5) + 4
= 8 u + 40 + 4
= 8 u + 44
19 u = 8 u + 44
19 u - 8 u = 44
11 u = 44
1 u = 44 ÷ 11 = 4
Number of packets of 19
= 1 u
= 4
(b)
Number of stickers
= 19 u
= 19 x 4
= 76
Answer(s): (a) 4; (b) 76