Charlie bought fewer than 14 packets of pens. Each packet contained 10 pens. He gave his teachers one packet of pens each before giving an equal number of pens to his 12 schoolmates and had 10 pens left. He had less than 8 teachers.
- How many pens did each of his schoolmates receive?
- What is the maximum number of teachers he could give a packet each to?
Since Charlie gave one packet of pens each to his teachers, the maximum number of packets that Charlie could give to his teachers
= 14 - 1
= 13
Since the number of teachers must be less than 8, the maximum number of teachers
= 8 - 1
= 7
If Charlie had 7 teachers, the minimum number of packets that Charlie could possibly give to his schoolmates
= 13 - 7
= 6
Find out how many packets of pens can be distributed to his 12 schoolmates to have 8 pens left.
Number of packets
for schoolmates |
Total number
of pens |
Number of pens to
each of his 12 schoolmates |
|
6
|
6 x 10 =
60 |
60 ÷ 12 =
5 r 0 |
x |
7
|
7 x 10 =
70 |
70 ÷ 12 =
5 r 10 |
✔ |
(a)
Number of pens that each of his 12 schoolmates received = 5
(b)
Number of packets that Charlie could give to his 12 schoolmates = 7
Maximum number of teachers that Charlie could give one packet each to
= 13 - 7
= 6
Answer(s): (a) 6 ; (b) 6
