MAT Exam 2024 Paper

Concept:Find total water present and total volume, then express water as a percentage of the total volume.Explanation:First mixture: volume $=2$ gallons and water $=12\%$.Water in first mixture $=\frac{12}{100}\times 2=0.24$ gallons.Second mixture: volume $=3$ gallons and water $=7\%$.Water in second mixture $=\frac{7}{100}\times 3=0.21$ gallons.Extra water added $=0.5$ gallons.Total volume $=2+3+0.5=5.5$ gallons.Total water $=0.24+0.21+0.5=0.95$ gallons.Required percentage $=\frac{0.95}{5.5}\times 100=\frac{95}{5.5}=\frac{190}{11}=17\frac{3}{11}\%$.Answer:Option A: $17\frac{3}{11}\%$.