Andy bought some staplers at $4 each. He later sold them to his customers at $6 each. For customers who bought three staplers were given another stapler for free. The customers bought either one or three staplers. Andy gave away 160 free staplers and collected a total of $600 more than what he had paid for. How many customers bought just one stapler each?
|
Staplers sold |
Staplers given to customers who got 1 stapler each |
Staplers given to customers who got 4 staplers each |
Number |
1 u |
1 u - 640 |
640 |
Value |
$4 |
$6 |
$6 |
Total Value |
4 u |
6 u - $3840 |
$2880 |
Since 160 staplers were given free, there were 160 customers who bought three staplers each.
Number of staplers that each customer would get if they bought three staplers each and got 1 stapler free
= 3 + 1
= 4
Total number of staplers for customers who each bought three staplers
= 4 x 160
= 640
Number of staplers for customers who each bought 1 stapler = 1 u - 640
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 640)
= 6 u - 3840
Total amount collected from customers who bought three staplers each
= 160 x 3 x 6
= $2880
Total amount collected from all the customers
= 6 u - 3840 + 2880
= 6 u - 960
Andy collected a total of $600 more than what he had paid for.
6 u - 960 = 4 u + 600
6 u - 4 u = 600 + 960
2 u = 1560
1 u = 1560 ÷ 2 = 780
Number of customers who bought just one stapler
= 1 u - 640
= 780 - 640
= 140
Answer(s): 140