Bryan bought some staplers at $2 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. Bryan gave away 110 free staplers and collected a total of $2300 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 - 440 |
440 |
| Value |
$2 |
$6 |
$6 |
| Total Value |
2 u |
6 u - $2640 |
$1980 |
Since 110 staplers were given free, there were 110 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 110
= 440
Number of staplers for customers who each bought 1 stapler = 1 u - 440
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 440)
= 6 u - 2640
Total amount collected from customers who bought three staplers each
= 110 x 3 x 6
= $1980
Total amount collected from all the customers
= 6 u - 2640 + 1980
= 6 u - 660
Bryan collected a total of $2300 more than what he had paid for.
6 u - 660 = 2 u + 2300
6 u - 2 u = 2300 + 660
4 u = 2960
1 u = 2960 ÷ 4 = 740
Number of customers who bought just one stapler
= 1 u - 440
= 740 - 440
= 300
Answer(s): 300
