Warren bought some staplers at $2 each. He later sold them to his customers at $6 each. For customers who bought four staplers were given another stapler for free. The customers bought either one or four staplers. Warren gave away 100 free staplers and collected a total of $2200 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 5 staplers each |
| Number |
1 u |
1 u - 500 |
500 |
| Value |
$2 |
$6 |
$6 |
| Total Value |
2 u |
6 u - $3000 |
$2400 |
Since 100 staplers were given free, there were 100 customers who bought four staplers each.
Number of staplers that each customer would get if they bought four staplers each and got 1 stapler free
= 4 + 1
= 5
Total number of staplers for customers who each bought four staplers
= 5 x 100
= 500
Number of staplers for customers who each bought 1 stapler = 1 u - 500
Total amount collected from customers who bought 1 stapler each
= 6 x (1 u - 500)
= 6 u - 3000
Total amount collected from customers who bought four staplers each
= 100 x 4 x 6
= $2400
Total amount collected from all the customers
= 6 u - 3000 + 2400
= 6 u - 600
Warren collected a total of $2200 more than what he had paid for.
6 u - 600 = 2 u + 2200
6 u - 2 u = 2200 + 600
4 u = 2800
1 u = 2800 ÷ 4 = 700
Number of customers who bought just one stapler
= 1 u - 500
= 700 - 500
= 200
Answer(s): 200
