Julian bought some staplers at $3 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. Julian gave away 150 free staplers and collected a total of $1750 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 - 600 |
600 |
| Value |
$3 |
$7 |
$7 |
| Total Value |
3 u |
7 u - $4200 |
$3150 |
Since 150 staplers were given free, there were 150 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 150
= 600
Number of staplers for customers who each bought 1 stapler = 1 u - 600
Total amount collected from customers who bought 1 stapler each
= 7 x (1 u - 600)
= 7 u - 4200
Total amount collected from customers who bought three staplers each
= 150 x 3 x 7
= $3150
Total amount collected from all the customers
= 7 u - 4200 + 3150
= 7 u - 1050
Julian collected a total of $1750 more than what he had paid for.
7 u - 1050 = 3 u + 1750
7 u - 3 u = 1750 + 1050
4 u = 2800
1 u = 2800 ÷ 4 = 700
Number of customers who bought just one stapler
= 1 u - 600
= 700 - 600
= 100
Answer(s): 100
