George 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. George gave away 130 free staplers and collected a total of $300 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 - 520 |
520 |
| Value |
$4 |
$6 |
$6 |
| Total Value |
4 u |
6 u - $3120 |
$2340 |
Since 130 staplers were given free, there were 130 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 130
= 520
Number of staplers for customers who each bought 1 stapler = 1 u - 520
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 520)
= 6 u - 3120
Total amount collected from customers who bought three staplers each
= 130 x 3 x 6
= $2340
Total amount collected from all the customers
= 6 u - 3120 + 2340
= 6 u - 780
George collected a total of $300 more than what he had paid for.
6 u - 780 = 4 u + 300
6 u - 4 u = 300 + 780
2 u = 1080
1 u = 1080 ÷ 2 = 540
Number of customers who bought just one stapler
= 1 u - 520
= 540 - 520
= 20
Answer(s): 20
