A small, test batch of lemonade used one fourth cup of sugar added to one cup of water and one fourth cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch

Answer:They need do add 2.5 or 5/2 cup of sugar so that large batch tastes the same.Step-by-step explanation:Consider the provided information.A small, test batch of lemonade used one fourth cup of sugar added to one cup of water.Therefore the ratio of sugar and water is [tex]\frac{1}{4} : 1[/tex]This can be written as:[tex]\frac{suger}{water}=\frac{0.25}{1}[/tex]After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water.Now multiply both the sides by 10 in above expression.[tex]\frac{suger}{water}=\frac{0.25\times 10}{1\times 10}[/tex][tex]\frac{suger}{water}=\frac{2.5}{10}[/tex]Hence, they need do add 2.5 or 5/2 cup of sugar so that large batch tastes the same.