Luis bought some staplers at $4 each. He later sold them to his customers at $6 each. For customers who bought two staplers were given another stapler for free. The customers bought either one or two staplers. Luis gave away 100 free staplers and collected a total of $620 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 - 300 |
300 |
Value |
$4 |
$6 |
$6 |
Total Value |
4 u |
6 u - $1800 |
$1200 |
Since 100 staplers were given free, there were 100 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 100
= 300
Number of staplers for customers who each bought 1 stapler = 1 u - 300
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 300)
= 6 u - 1800
Total amount collected from customers who bought two staplers each
= 100 x 2 x 6
= $1200
Total amount collected from all the customers
= 6 u - 1800 + 1200
= 6 u - 600
Luis collected a total of $620 more than what he had paid for.
6 u - 600 = 4 u + 620
6 u - 4 u = 620 + 600
2 u = 1220
1 u = 1220 ÷ 2 = 610
Number of customers who bought just one stapler
= 1 u - 300
= 610 - 300
= 310
Answer(s): 310