Cody bought some markers at $6 each. He later sold them to his customers at $8 each. For customers who bought four markers were given another marker for free. The customers bought either one or four markers. Cody gave away 130 free markers and collected a total of $380 more than what he had paid for. How many customers bought just one marker each?
| |
Markers
sold |
Markers given to customers who got 1 marker each |
Markers given to customers who got 5 markers each |
| Number |
1 u |
1 u - 650 |
650 |
| Value |
$6 |
$8 |
$8 |
| Total Value |
6 u |
8 u - $5200 |
$4160 |
Since 130 markers were given free, there were 130 customers who bought four markers each.
Number of markers that each customer would get if they bought four markers each and got 1 marker free
= 4 + 1
= 5
Total number of markers for customers who each bought four markers
= 5 x 130
= 650
Number of markers for customers who each bought 1 marker = 1 u - 650
Total amount collected from customers who bought 1 marker each
= 8 x (1 u - 650)
= 8 u - 5200
Total amount collected from customers who bought four markers each
= 130 x 4 x 8
= $4160
Total amount collected from all the customers
= 8 u - 5200 + 4160
= 8 u - 1040
Cody collected a total of $380 more than what he had paid for.
8 u - 1040 = 6 u + 380
8 u - 6 u = 380 + 1040
2 u = 1420
1 u = 1420 ÷ 2 = 710
Number of customers who bought just one marker
= 1 u - 650
= 710 - 650
= 60
Answer(s): 60
