Cody bought fewer than 12 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 7 classmates and had 3 pens left. He had less than 5 teachers.
- How many pens did each of his classmates receive?
- What is the maximum number of teachers he could give a packet each to?
Since Cody gave one packet of pens each to his teachers, the maximum number of packets that Cody could give to his teachers
= 12 - 1
= 11
Since the number of teachers must be less than 5, the maximum number of teachers
= 5 - 1
= 4
If Cody had 4 teachers, the minimum number of packets that Cody could possibly give to his classmates
= 11 - 4
= 7
Find out how many packets of pens can be distributed to his 7 classmates to have 6 pens left.
Number of packets
for classmates |
Total number
of pens |
Number of pens to
each of his 7 classmates |
|
7
|
7 x 10 =
70 |
70 ÷ 7 =
10 r 0 |
x |
8
|
8 x 10 =
80 |
80 ÷ 7 =
11 r 3 |
✔ |
(a)
Number of pens that each of his 7 classmates received = 11
(b)
Number of packets that Cody could give to his 7 classmates = 8
Maximum number of teachers that Cody could give one packet each to
= 11 - 8
= 3
Answer(s): (a) 12 ; (b) 3
