Asher bought some markers at $4 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. Asher gave away 110 free markers and collected a total of $1840 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 - 550 |
550 |
Value |
$4 |
$8 |
$8 |
Total Value |
4 u |
8 u - $4400 |
$3520 |
Since 110 markers were given free, there were 110 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 110
= 550
Number of markers for customers who each bought 1 marker = 1 u - 550
Total amount collected from customers who bought 1 marker each
= 8 x (1 u - 550)
= 8 u - 4400
Total amount collected from customers who bought four markers each
= 110 x 4 x 8
= $3520
Total amount collected from all the customers
= 8 u - 4400 + 3520
= 8 u - 880
Asher collected a total of $1840 more than what he had paid for.
8 u - 880 = 4 u + 1840
8 u - 4 u = 1840 + 880
4 u = 2720
1 u = 2720 ÷ 4 = 680
Number of customers who bought just one marker
= 1 u - 550
= 680 - 550
= 130
Answer(s): 130