Problem: the whole thing is in Spanish but it pretty much says

We want to buy 3 different types of perfume (for men, women and kids) with a budget of 1,500,000.00. We know the cost of the kids perfume is 180,000.00 less than the sum of the other two (men & women) and we know the tax by product is 6% for men perfume, 12% for women perfume and 30% for kids perfume making the invoice 877,200.00 (taxes included). How much money are we going to spend on each perfume type (the high amount is due the currency we got in the country I live in).

I do not understand how to correlate these 3 equations to solve the matrix.

lets say:

X: men perfume

Y: women perfume

Z: kids perfume

then Z: (X+Y) - 180,000.00 (this equation would reflect the cost of each perfume).

X+Y+Z = 1,500,000.00 (this equation would reflect how much am I going to expend on each perfume type)

1.06X + 1.12Y + 1.3Z = 877,200.00 (this equation would reflect the amount am going to expend on each perfume with taxes)

I'm lost....