Let's assume the cost of one sweater be "s" and the cost of one pair of jeans be "j".
According to the problem, we have two equations:
3s + 2j = 112.48 ...(1)
2s + j = 65.10 ...(2)
Solving equation (2) for j, we get:
j = 65.10 - 2s
Substituting this value of j in equation (1), we get:
3s + 2(65.10 - 2s) = 112.48
Simplifying and solving for s, we get:
s = $20.06
Substituting the value of s in equation (2) and solving for j, we get:
j = $25.98
Therefore, the cost of one sweater is $20.06 and the cost of one pair of jeans is $25.98