Paul bought some staplers at $4 each. He later sold them to his customers at $7 each. For customers who bought three staplers were given another stapler for free. The customers bought either one or three staplers. Paul gave away 120 free staplers and collected a total of $1410 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 - 480 |
480 |
Value |
$4 |
$7 |
$7 |
Total Value |
4 u |
7 u - $3360 |
$2520 |
Since 120 staplers were given free, there were 120 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 120
= 480
Number of staplers for customers who each bought 1 stapler = 1 u - 480
Total amount collected from customers who bought 1 stapler each
= 7 x (1 u - 480)
= 7 u - 3360
Total amount collected from customers who bought three staplers each
= 120 x 3 x 7
= $2520
Total amount collected from all the customers
= 7 u - 3360 + 2520
= 7 u - 840
Paul collected a total of $1410 more than what he had paid for.
7 u - 840 = 4 u + 1410
7 u - 4 u = 1410 + 840
3 u = 2250
1 u = 2250 ÷ 3 = 750
Number of customers who bought just one stapler
= 1 u - 480
= 750 - 480
= 270
Answer(s): 270