Caden bought some staplers at $6 each. He later sold them to his customers at $10 each. For customers who bought two staplers were given another stapler for free. The customers bought either one or two staplers. Caden gave away 120 free staplers and collected a total of $800 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 3 staplers each |
| Number |
1 u |
1 u - 360 |
360 |
| Value |
$6 |
$10 |
$10 |
| Total Value |
6 u |
10 u - $3600 |
$2400 |
Since 120 staplers were given free, there were 120 customers who bought two staplers each.
Number of staplers that each customer would get if they bought two staplers each and got 1 stapler free
= 2 + 1
= 3
Total number of staplers for customers who each bought two staplers
= 3 x 120
= 360
Number of staplers for customers who each bought 1 stapler = 1 u - 360
Total amount collected from customers who bought 1 stapler each
= 10 x (1 u - 360)
= 10 u - 3600
Total amount collected from customers who bought two staplers each
= 120 x 2 x 10
= $2400
Total amount collected from all the customers
= 10 u - 3600 + 2400
= 10 u - 1200
Caden collected a total of $800 more than what he had paid for.
10 u - 1200 = 6 u + 800
10 u - 6 u = 800 + 1200
4 u = 2000
1 u = 2000 ÷ 4 = 500
Number of customers who bought just one stapler
= 1 u - 360
= 500 - 360
= 140
Answer(s): 140
