Perry bought fewer than 16 packets of staplers. Each packet contained 14 staplers. He gave his teachers one packet of staplers each before giving an equal number of staplers to his 15 classmates and had 4 staplers left. He had less than 8 teachers.
- How many staplers did each of his classmates receive?
- What is the maximum number of teachers he could give a packet each to?
Since Perry gave one packet of staplers each to his teachers, the maximum number of packets that Perry could give to his teachers
= 16 - 1
= 15
Since the number of teachers must be less than 8, the maximum number of teachers
= 8 - 1
= 7
If Perry had 7 teachers, the minimum number of packets that Perry could possibly give to his classmates
= 15 - 7
= 8
Find out how many packets of staplers can be distributed to his 15 classmates to have 5 staplers left.
Number of packets for classmates |
Total number of staplers |
Number of staplers to each of his 15 classmates |
|
8
|
8 x 14 = 112 |
112 ÷ 15 = 7 r 7 |
x |
9
|
9 x 14 = 126 |
126 ÷ 15 = 8 r 6 |
x |
10
|
10 x 14 = 140 |
140 ÷ 15 = 9 r 5 |
x |
11
|
11 x 14 = 154 |
154 ÷ 15 = 10 r 4 |
✔ |
(a)
Number of staplers that each of his 15 classmates received = 10
(b)
Number of packets that Perry could give to his 15 classmates = 11
Maximum number of teachers that Perry could give one packet each to
= 15 - 11
= 4
Answer(s): (a) 10; (b) 4