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Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?
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@dumbcow
6x+5y=11 7x+13y=20
x=1 y=1
x=13 y=18
18*40/100=36/5
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