Question

The respective ratio between 52% of x and 30% of y is 12:5. If x is 50 more than y, what is the value of 2x+y?

Answer 1

Answer:

The value of 2x+y is 490

Step-by-step explanation:

$\text{Given: }$

52% of x : 30% of y =12:5

$\implies\,52x\,:\,30y=12:5$

$\implies\,26x\,:\,15y=12:5$

$\implies\frac{26x}{15y}=\frac{12}{5}$

$\implies\,130x=180y$

$\implies\,13x=18y$

$\implies\,y=\frac{13x}{18}$

$\text{Also}$

$x=y+50$

$x=\frac{13x}{18}+50$

$x=\frac{13x+900}{18}$

$18x=13x+900$

$5x=900$

$\implies\boxed{x=180}$

$y=\frac{13(180)}{18}$

$\implies\,\boxed{y=130}$

$\text{Now}$

$2x+y=2(180)+130=490$