Question
Mixture βAβ consists of petrol and acid in a 4:1 ratio, while Mixture βBβ contains petrol and acid in a ratio of 5:3. If these two mixtures are combined in a ratio 4:3 to form Mixture βCβ, what is the percentage of petrol in Mixture βCβ?
Solution
Proportion of petrol present in mixture βAβ = (4/5)And proportion of petrol present in mixture βBβ = (5/8)Let the quantity in which mixture βAβ and mixture βBβ are mixed be β4xβ litres and β3xβ litres, respectively.So, percentage of petrol present in mixture βCβ = [{(4/5) Γ 4x + (5/8) Γ 3x} Γ· (4x + 3x)] Γ 100= [{(16x/5) + (15x/8)} Γ· 7x] Γ 100= {(128x + 75x)/(40 Γ 7x)} Γ 100= {(203x/40 Γ 7)} Γ 100 = 72.5%
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