Xavier bought some staplers at $3 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. Xavier gave away 140 free staplers and collected a total of $960 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 - 560 |
560 |
| Value |
$3 |
$6 |
$6 |
| Total Value |
3 u |
6 u - $3360 |
$2520 |
Since 140 staplers were given free, there were 140 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 140
= 560
Number of staplers for customers who each bought 1 stapler = 1 u - 560
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 560)
= 6 u - 3360
Total amount collected from customers who bought three staplers each
= 140 x 3 x 6
= $2520
Total amount collected from all the customers
= 6 u - 3360 + 2520
= 6 u - 840
Xavier collected a total of $960 more than what he had paid for.
6 u - 840 = 3 u + 960
6 u - 3 u = 960 + 840
3 u = 1800
1 u = 1800 ÷ 3 = 600
Number of customers who bought just one stapler
= 1 u - 560
= 600 - 560
= 40
Answer(s): 40
