Wesley 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 friends and had 8 pens left. He had less than 8 teachers.
- How many pens did each of his friends receive?
- What is the maximum number of teachers he could give a packet each to?
Since Wesley gave one packet of pens each to his teachers, the maximum number of packets that Wesley 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 Wesley had 7 teachers, the minimum number of packets that Wesley could possibly give to his friends
= 13 - 7
= 6
Find out how many packets of pens can be distributed to his 12 friends to have 8 pens left.
Number of packets
for friends |
Total number
of pens |
Number of pens to
each of his 12 friends |
|
6
|
6 x 10 =
60 |
60 ÷ 12 =
5 r 0 |
x |
7
|
7 x 10 =
70 |
70 ÷ 12 =
5 r 10 |
x |
8
|
8 x 10 =
80 |
80 ÷ 12 =
6 r 8 |
✔ |
(a)
Number of pens that each of his 12 friends received = 6
(b)
Number of packets that Wesley could give to his 12 friends = 8
Maximum number of teachers that Wesley could give one packet each to
= 13 - 8
= 5
Answer(s): (a) 6 ; (b) 5
