Answer:
29: 49
Step-by-step explanation:
Since x:y= 3:5,
[tex] \frac{x}{y} = \frac{3}{5}[/tex]
Cross multiply:
[tex]5x = 3y[/tex]
Divide by 5 on both sides:
[tex]x = \frac{3}{5} y[/tex]
[tex] \frac{3x + 4y}{8x + 5y} \\ = \frac{3( \frac{3}{5}y) + 4y }{8( \frac{3}{5}y) + 5y } \\ = \frac{ \frac{9}{5}y + 4y }{ \frac{24}{5}y + 5y } \\ = \frac{9y + 5(4y)}{24y + 5(5y)} \\ = \frac{9y + 20y}{24y + 25y} \\ = \frac{29y}{49y} \\ = \frac{29}{49} [/tex]
Thus, 3x+4y: 8x+5y= 29: 49.
