ThePie wrote:
A cook mixes together 3 cups of sauce A, containing 2 teaspoons of sugar per cup; 2 \(\frac{1}{2}\) cups of sauce B, containing 1 teaspoon of sugar per cup; and 4 \(\frac{1}{2}\) cups of sauce C, contain 3 teaspoons of sugar per cup. If the sugar is evenly distributed throughout the mixture, which of the following is closest to the number of teaspoons of sugar in a cup of the final mixture.
A) 2
B) 2 \(\frac{1}{5}\)
C) 2 \(\frac{1}{3}\)
D) 2 \(\frac{4}{9}\)
E) 2 \(\frac{2}{3}\)
Using the weighted averages formula
\(\frac{(3 * 2 + 2.5 * 1 + 4.5 * 3)}{(3+2.5+4.5)} =\frac{ 22}{10} = 2 \frac{1}{5}\)
Answer is B)