3. (8 points) Xiaohong went to buy fruits. If she buys 5 kilograms of apples, she would be short of 4 yuan. If she buys 6 kilograms of pears, she would be short of 3 yuan. It is known that apples are 5 jiao 5 fen more expensive per 500 grams than pears. How much money did Xiaohong bring to buy fruits? $\qquad$ yuan.
【Solution】Let the price of pears per kilogram be $x$ yuan, then the price of apples per kilogram is $x+0.55 \times 2=(x+1.1)$ yuan
$$
\begin{array}{l} 
6 x-3=5 \times(x+1.1)-4 \\
6 x-3=5 x+5.5-4 \\
6 x-5 x=1.5+3 \\
x=4.5 \\
6 \times 4.5-3 \\
=27-3 \\
=24 \ (\text{yuan})
\end{array}
$$

Answer: Xiao Hong brought a total of 24 yuan for the fruit.
Therefore, the answer is: 24.