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How much of a perfume that sells for $15 per ounce should be mixed with the previous search for $35 per ounce to make a 3 ounce bottle of perfume that can be sold for $63

Respuesta :

let x be the amount of perfume at $15/oz and y be the amount at 35/oz
x + y = 3

rewrite is as x=3-y
15x + 35y = 63

substitute for x into the second equation
15(3 - y) + 35y = 63
45 - 15y + 35y = 63
20y = 18

y = 20/18 = 0.9 oz
x = 3-0.9= 2.1 oz
2.1 oz of $15/oz perfume