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 Proportions Mixtures word problems If you mix 20kg of type A wheat, which costs €0.60/kg, with 60kg of type B wheat, which costs €0.80/kg, what is the price of the resulting mixture? 20 Kg. of type A wheat costs 20·0.6 = 12 euros. 60 Kg. of type B wheat costs 50·0.8 = 48 euros. The resulting mixture is: 80 Kg. of wheat with a price of 60 euros. Each kg costs: 1000g of gold which is 90% pure is mixed with an amount of gold which is 75% pure. The purity of the resultant mixture is 85%. What quantity of the gold of 75% purity was added? If the purity of the first quantity is 90% then it contains 900g of pure gold. Name x to the amount of the second mixure, which will contain 0.75x pure golden. After the mixure, he will have 1000+x gr of metal with 85% purity, that is 0.85(1000+x) gr. of pure golden. That is 0.85(1000+x)=900 +0.75x ; 850+0.85x=900+0.75x ; 0.1x=50 ; x=500 Solution: 500 gr. were added A vineyard produces both good quality wine and low grade wine. If 9 litres of good quality wine (valued at 8.2/litre) is mixed with 15 litres of the lower quality wine (valued at 4.6/litre), what will be the price of the resulting mixture? Solution =