Let the number of shirts be x, and the jeans be y.
Total cost of shirts = 12x
Total cost of Jeans = 28y
This means that: 12x + 28y = 3900..........(a)
Selling price for Shirts 70% profit, means = 100% + 70% = 170% of the cost price
170/100 * 12x = 1.7*12x = 20.4x
Selling price for Jeans 125% profit, means = 100% + 125% = 225% of the cost price
225/100 * 28y = 2.25*28y = 63y
Total profit = 3885, remember total cost = 3900
Total selling price = 3885 + 3900 = 7785
20.4x + 63y = 7785..........(b)
12x + 28y = 3900.............(a)
20.4x + 63y = 7785...........(b)
Solving the simultaneous equation with a programmable calculator:
x = 150, y = 75
150 shirts and 75 jeans.
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