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There are 3 mixtures when mixed in the ratio of 3:4:5 price was 240.When mixed with 6:4:9 price was 340.what's the price when mixed in 5:6:8 ration price is_________
dear doppalapudi,
the mixtures are x, y and z3x + 4y + 5z = 2406x + 4y + 9z = 340eliminate y3x + 4z = 1003x = 100 - 4z3x = 4*25 - 4zassuming x, y and z are integers, x must be divisible by 4let x = 4A where A is an integer3*4A = 4*25 - 4z3A = 25 - z25 - z must be divisible by 3, possible values for z are1, 4, 7, 10, 13, 16, 19, 22from6x + 4y + 9z = 3403x + 4y + 5z = 240multiply by 26x + 8y + 10z = 480eliminate x4y + z = 140z = 140 - 4yz = 4*35 - 4yz must be divisible by 4, thusz = 4 or 16possible solutions for (x,y,z) are(28,34,4) and (12,31,16)with a ratio of 5:6:8,5*28 + 6*34 + 8*4 = 3765*12 + 6*31 + 8*16 = 374
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