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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_________ 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_________
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 We are all IITians and here to help you in your IIT JEE preparation. Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian. Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar.. AMAN BANSAL
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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