We are going to formulate a system of equations to represent this situation and the we are going to solve it.
Let x represent the sale price of one sweatshirt.
Let y represent the sale price of one pair of sweatpants.
3x + 2y = 85.5 (Equation 1)
3x + 4y = 123 (Equation 2)
Using the elimination method to solve the system, we have:
c-3x - 4y =- 123
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0 - 2y = -37.5 ( Subtracting the equation 2 from the equation 1)
y= 18.75 ( Dividing by 2 on both sides of the equation)
Replacing y=18.75 in the equation 1 to solve for x, we have:
3x + 2(18.75) = 85.5
3x + 37.5 = 85.5 (Multiplying)
3x = 48 (Subtracting 37.5 from both sides of the equation)
x= 16 (Dividing by 3 on both sides of the equation)
The answers are:
The sale price of one sweatshirt is $16.
The sale price of one pair of sweatpants is $18.75.