Question

Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate whose orange juice concentrate is stronger

Answer 1

Hans concentration is greater.

Step-by-step explanation:

$Concentration=\frac{\text{number of cups of orange juice}}{\text{number of cups of orange juice+number of cups of water}}$

For Clare,

$\text{number of orange cups}=\frac{1}{3} \\\text{number of water cups}=\frac{5}{2}$

Concentration=$\frac{\frac{1}{3} }{\frac{5}{2} +\frac{1}{3}} =\frac{\frac{1}{3}}{\frac{17}{6} }=\frac{2}{17}=0.117$

For Han,

$\text{number of orange cups}=\frac{1}{4}\\\text{number of water cups}=\frac{5}{3}$

Concentration=$\frac{\frac{1}{4} }{\frac{5}{3} +\frac{1}{4}} =\frac{\frac{1}{4}}{\frac{23}{12} }=\frac{3}{23}=0.130$

So,Hans concentration is greater.