Final answer:
To solve this problem, we can set up a system of equations and solve for the number of pairs of Asics and New Balance shoes sold.
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let's let 'a' represent the number of pairs of Asics sold and 'n' represent the number of pairs of New Balance sold. From the information given, we know that the total number of pairs sold is 75 and the total revenue is $6241. We can set up two equations:
a + n = 75
82a + 95n = 6241
We can solve this system of equations by substitution or elimination. Let's use substitution:
From the first equation, we can rewrite it as 'a = 75 - n'. Substituting this into the second equation:
82(75 - n) + 95n = 6241
6150 - 82n + 95n = 6241
13n = 91
n = 7
Substituting this back into the first equation: a = 75 - 7 = 68
Therefore, 68 pairs of Asics and 7 pairs of New Balance were sold.